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Finding the Fourth Proportional to 1,588.59, 2,382.84 and 614.91

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Solution

The fourth proportional to 1,588.59, 2,382.84 and 614.91 is: 922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.59 : 2,382.84 = 614.91 : x
  2. Step 2: Convert to fraction form
    1,588.59/2,382.84 = 614.91/x
  3. Step 3: Cross multiply
    1,588.59x = 2,382.84 × 614.91
  4. Step 4: Simplify right side
    1,588.59x = 1,465,232.14
  5. Step 5: Solve for x
    x = 1,465,232.14/1,588.59
  6. Step 6: Final answer
    x = 922.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.