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Finding the Fourth Proportional to 891.52, 1,230.32 and 542.24

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Solution

The fourth proportional to 891.52, 1,230.32 and 542.24 is: 748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.52 : 1,230.32 = 542.24 : x
  2. Step 2: Convert to fraction form
    891.52/1,230.32 = 542.24/x
  3. Step 3: Cross multiply
    891.52x = 1,230.32 × 542.24
  4. Step 4: Simplify right side
    891.52x = 667,128.72
  5. Step 5: Solve for x
    x = 667,128.72/891.52
  6. Step 6: Final answer
    x = 748.30

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1.5x scale

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.