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Finding the Fourth Proportional to 873.32, 1,205.79 and 542.30

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Solution

The fourth proportional to 873.32, 1,205.79 and 542.30 is: 748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.32 : 1,205.79 = 542.30 : x
  2. Step 2: Convert to fraction form
    873.32/1,205.79 = 542.30/x
  3. Step 3: Cross multiply
    873.32x = 1,205.79 × 542.30
  4. Step 4: Simplify right side
    873.32x = 653,899.92
  5. Step 5: Solve for x
    x = 653,899.92/873.32
  6. Step 6: Final answer
    x = 748.75

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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.