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Finding the Fourth Proportional to 691.69, 954.74 and 412.13

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Solution

The fourth proportional to 691.69, 954.74 and 412.13 is: 568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.69 : 954.74 = 412.13 : x
  2. Step 2: Convert to fraction form
    691.69/954.74 = 412.13/x
  3. Step 3: Cross multiply
    691.69x = 954.74 × 412.13
  4. Step 4: Simplify right side
    691.69x = 393,470.16
  5. Step 5: Solve for x
    x = 393,470.16/691.69
  6. Step 6: Final answer
    x = 568.86

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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.