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Finding the Fourth Proportional to 691.81, 1,037.50 and 569.77

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Solution

The fourth proportional to 691.81, 1,037.50 and 569.77 is: 854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.81 : 1,037.50 = 569.77 : x
  2. Step 2: Convert to fraction form
    691.81/1,037.50 = 569.77/x
  3. Step 3: Cross multiply
    691.81x = 1,037.50 × 569.77
  4. Step 4: Simplify right side
    691.81x = 591,136.38
  5. Step 5: Solve for x
    x = 591,136.38/691.81
  6. Step 6: Final answer
    x = 854.48

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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.