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Finding the Fourth Proportional to 1,514.61, 2,272.20 and 527.38

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Solution

The fourth proportional to 1,514.61, 2,272.20 and 527.38 is: 791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.61 : 2,272.20 = 527.38 : x
  2. Step 2: Convert to fraction form
    1,514.61/2,272.20 = 527.38/x
  3. Step 3: Cross multiply
    1,514.61x = 2,272.20 × 527.38
  4. Step 4: Simplify right side
    1,514.61x = 1,198,312.84
  5. Step 5: Solve for x
    x = 1,198,312.84/1,514.61
  6. Step 6: Final answer
    x = 791.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.