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Finding the Fourth Proportional to 691.07, 1,037.27 and 538.65

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Solution

The fourth proportional to 691.07, 1,037.27 and 538.65 is: 808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.07 : 1,037.27 = 538.65 : x
  2. Step 2: Convert to fraction form
    691.07/1,037.27 = 538.65/x
  3. Step 3: Cross multiply
    691.07x = 1,037.27 × 538.65
  4. Step 4: Simplify right side
    691.07x = 558,726.83
  5. Step 5: Solve for x
    x = 558,726.83/691.07
  6. Step 6: Final answer
    x = 808.50

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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.