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Finding the Fourth Proportional to 1,153.14, 1,591.33 and 655.78

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Solution

The fourth proportional to 1,153.14, 1,591.33 and 655.78 is: 904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.14 : 1,591.33 = 655.78 : x
  2. Step 2: Convert to fraction form
    1,153.14/1,591.33 = 655.78/x
  3. Step 3: Cross multiply
    1,153.14x = 1,591.33 × 655.78
  4. Step 4: Simplify right side
    1,153.14x = 1,043,551.15
  5. Step 5: Solve for x
    x = 1,043,551.15/1,153.14
  6. Step 6: Final answer
    x = 904.97

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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.