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Finding the Fourth Proportional to 691.74, 954.76 and 470.78

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Solution

The fourth proportional to 691.74, 954.76 and 470.78 is: 649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.74 : 954.76 = 470.78 : x
  2. Step 2: Convert to fraction form
    691.74/954.76 = 470.78/x
  3. Step 3: Cross multiply
    691.74x = 954.76 × 470.78
  4. Step 4: Simplify right side
    691.74x = 449,481.91
  5. Step 5: Solve for x
    x = 449,481.91/691.74
  6. Step 6: Final answer
    x = 649.78

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.