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Finding the Fourth Proportional to 974.19, 1,461.12 and 324.91

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Solution

The fourth proportional to 974.19, 1,461.12 and 324.91 is: 487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.19 : 1,461.12 = 324.91 : x
  2. Step 2: Convert to fraction form
    974.19/1,461.12 = 324.91/x
  3. Step 3: Cross multiply
    974.19x = 1,461.12 × 324.91
  4. Step 4: Simplify right side
    974.19x = 474,732.50
  5. Step 5: Solve for x
    x = 474,732.50/974.19
  6. Step 6: Final answer
    x = 487.31

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.