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Finding the Fourth Proportional to 889.92, 1,335.96 and 542.16

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Solution

The fourth proportional to 889.92, 1,335.96 and 542.16 is: 813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.92 : 1,335.96 = 542.16 : x
  2. Step 2: Convert to fraction form
    889.92/1,335.96 = 542.16/x
  3. Step 3: Cross multiply
    889.92x = 1,335.96 × 542.16
  4. Step 4: Simplify right side
    889.92x = 724,304.07
  5. Step 5: Solve for x
    x = 724,304.07/889.92
  6. Step 6: Final answer
    x = 813.90

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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.