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Finding the Fourth Proportional to 873.52, 1,205.50 and 542.12

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Solution

The fourth proportional to 873.52, 1,205.50 and 542.12 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.52 : 1,205.50 = 542.12 : x
  2. Step 2: Convert to fraction form
    873.52/1,205.50 = 542.12/x
  3. Step 3: Cross multiply
    873.52x = 1,205.50 × 542.12
  4. Step 4: Simplify right side
    873.52x = 653,525.66
  5. Step 5: Solve for x
    x = 653,525.66/873.52
  6. Step 6: Final answer
    x = 748.15

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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.