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Finding the Fourth Proportional to 691.65, 954.23 and 514.17

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Solution

The fourth proportional to 691.65, 954.23 and 514.17 is: 709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.65 : 954.23 = 514.17 : x
  2. Step 2: Convert to fraction form
    691.65/954.23 = 514.17/x
  3. Step 3: Cross multiply
    691.65x = 954.23 × 514.17
  4. Step 4: Simplify right side
    691.65x = 490,633.87
  5. Step 5: Solve for x
    x = 490,633.87/691.65
  6. Step 6: Final answer
    x = 709.37

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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.