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Finding the Fourth Proportional to 840.52, 1,159.50 and 530.20

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Solution

The fourth proportional to 840.52, 1,159.50 and 530.20 is: 731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.52 : 1,159.50 = 530.20 : x
  2. Step 2: Convert to fraction form
    840.52/1,159.50 = 530.20/x
  3. Step 3: Cross multiply
    840.52x = 1,159.50 × 530.20
  4. Step 4: Simplify right side
    840.52x = 614,766.90
  5. Step 5: Solve for x
    x = 614,766.90/840.52
  6. Step 6: Final answer
    x = 731.41

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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.