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Finding the Fourth Proportional to 1,191.84, 1,787.20 and 542.08

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Solution

The fourth proportional to 1,191.84, 1,787.20 and 542.08 is: 812.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.84 : 1,787.20 = 542.08 : x
  2. Step 2: Convert to fraction form
    1,191.84/1,787.20 = 542.08/x
  3. Step 3: Cross multiply
    1,191.84x = 1,787.20 × 542.08
  4. Step 4: Simplify right side
    1,191.84x = 968,805.38
  5. Step 5: Solve for x
    x = 968,805.38/1,191.84
  6. Step 6: Final answer
    x = 812.87

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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.