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Finding the Fourth Proportional to 1,493.80, 2,239.82 and 569.42

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Solution

The fourth proportional to 1,493.80, 2,239.82 and 569.42 is: 853.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.80 : 2,239.82 = 569.42 : x
  2. Step 2: Convert to fraction form
    1,493.80/2,239.82 = 569.42/x
  3. Step 3: Cross multiply
    1,493.80x = 2,239.82 × 569.42
  4. Step 4: Simplify right side
    1,493.80x = 1,275,387.11
  5. Step 5: Solve for x
    x = 1,275,387.11/1,493.80
  6. Step 6: Final answer
    x = 853.79

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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.