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Finding the Fourth Proportional to 691.86, 954.48 and 470.46

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Solution

The fourth proportional to 691.86, 954.48 and 470.46 is: 649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 954.48 = 470.46 : x
  2. Step 2: Convert to fraction form
    691.86/954.48 = 470.46/x
  3. Step 3: Cross multiply
    691.86x = 954.48 × 470.46
  4. Step 4: Simplify right side
    691.86x = 449,044.66
  5. Step 5: Solve for x
    x = 449,044.66/691.86
  6. Step 6: Final answer
    x = 649.04

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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.