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Finding the Fourth Proportional to 974.72, 1,461.53 and 325.10

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Solution

The fourth proportional to 974.72, 1,461.53 and 325.10 is: 487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.72 : 1,461.53 = 325.10 : x
  2. Step 2: Convert to fraction form
    974.72/1,461.53 = 325.10/x
  3. Step 3: Cross multiply
    974.72x = 1,461.53 × 325.10
  4. Step 4: Simplify right side
    974.72x = 475,134.47
  5. Step 5: Solve for x
    x = 475,134.47/974.72
  6. Step 6: Final answer
    x = 487.46

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Double scale
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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.