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Finding the Fourth Proportional to 1,154.87, 1,593.60 and 712.97

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Solution

The fourth proportional to 1,154.87, 1,593.60 and 712.97 is: 983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.87 : 1,593.60 = 712.97 : x
  2. Step 2: Convert to fraction form
    1,154.87/1,593.60 = 712.97/x
  3. Step 3: Cross multiply
    1,154.87x = 1,593.60 × 712.97
  4. Step 4: Simplify right side
    1,154.87x = 1,136,188.99
  5. Step 5: Solve for x
    x = 1,136,188.99/1,154.87
  6. Step 6: Final answer
    x = 983.82

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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.