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Finding the Fourth Proportional to 754.35, 1,130.04 and 591.27

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Solution

The fourth proportional to 754.35, 1,130.04 and 591.27 is: 885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.35 : 1,130.04 = 591.27 : x
  2. Step 2: Convert to fraction form
    754.35/1,130.04 = 591.27/x
  3. Step 3: Cross multiply
    754.35x = 1,130.04 × 591.27
  4. Step 4: Simplify right side
    754.35x = 668,158.75
  5. Step 5: Solve for x
    x = 668,158.75/754.35
  6. Step 6: Final answer
    x = 885.74

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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.