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Finding the Fourth Proportional to 1,119.80, 1,678.86 and 542.52

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Solution

The fourth proportional to 1,119.80, 1,678.86 and 542.52 is: 813.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.80 : 1,678.86 = 542.52 : x
  2. Step 2: Convert to fraction form
    1,119.80/1,678.86 = 542.52/x
  3. Step 3: Cross multiply
    1,119.80x = 1,678.86 × 542.52
  4. Step 4: Simplify right side
    1,119.80x = 910,815.13
  5. Step 5: Solve for x
    x = 910,815.13/1,119.80
  6. Step 6: Final answer
    x = 813.37

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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.