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Finding the Fourth Proportional to 974.34, 1,461.78 and 512.24

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Solution

The fourth proportional to 974.34, 1,461.78 and 512.24 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.34 : 1,461.78 = 512.24 : x
  2. Step 2: Convert to fraction form
    974.34/1,461.78 = 512.24/x
  3. Step 3: Cross multiply
    974.34x = 1,461.78 × 512.24
  4. Step 4: Simplify right side
    974.34x = 748,774.88
  5. Step 5: Solve for x
    x = 748,774.88/974.34
  6. Step 6: Final answer
    x = 768.49

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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.