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Finding the Fourth Proportional to 1,136.97, 1,567.98 and 716.85

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Solution

The fourth proportional to 1,136.97, 1,567.98 and 716.85 is: 988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.97 : 1,567.98 = 716.85 : x
  2. Step 2: Convert to fraction form
    1,136.97/1,567.98 = 716.85/x
  3. Step 3: Cross multiply
    1,136.97x = 1,567.98 × 716.85
  4. Step 4: Simplify right side
    1,136.97x = 1,124,006.46
  5. Step 5: Solve for x
    x = 1,124,006.46/1,136.97
  6. Step 6: Final answer
    x = 988.60

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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.