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Finding the Fourth Proportional to 1,152.87, 1,591.29 and 655.78

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Solution

The fourth proportional to 1,152.87, 1,591.29 and 655.78 is: 905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.87 : 1,591.29 = 655.78 : x
  2. Step 2: Convert to fraction form
    1,152.87/1,591.29 = 655.78/x
  3. Step 3: Cross multiply
    1,152.87x = 1,591.29 × 655.78
  4. Step 4: Simplify right side
    1,152.87x = 1,043,536.16
  5. Step 5: Solve for x
    x = 1,043,536.16/1,152.87
  6. Step 6: Final answer
    x = 905.16

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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.