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Finding the Fourth Proportional to 1,119.72, 1,678.86 and 542.28

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Solution

The fourth proportional to 1,119.72, 1,678.86 and 542.28 is: 813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.72 : 1,678.86 = 542.28 : x
  2. Step 2: Convert to fraction form
    1,119.72/1,678.86 = 542.28/x
  3. Step 3: Cross multiply
    1,119.72x = 1,678.86 × 542.28
  4. Step 4: Simplify right side
    1,119.72x = 910,412.20
  5. Step 5: Solve for x
    x = 910,412.20/1,119.72
  6. Step 6: Final answer
    x = 813.07

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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.