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Finding the Fourth Proportional to 1,136.34, 1,567.53 and 715.91

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Solution

The fourth proportional to 1,136.34, 1,567.53 and 715.91 is: 987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.34 : 1,567.53 = 715.91 : x
  2. Step 2: Convert to fraction form
    1,136.34/1,567.53 = 715.91/x
  3. Step 3: Cross multiply
    1,136.34x = 1,567.53 × 715.91
  4. Step 4: Simplify right side
    1,136.34x = 1,122,202.56
  5. Step 5: Solve for x
    x = 1,122,202.56/1,136.34
  6. Step 6: Final answer
    x = 987.56

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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.