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Finding the Fourth Proportional to 1,514.24, 2,270.88 and 488

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Solution

The fourth proportional to 1,514.24, 2,270.88 and 488 is: 731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.24 : 2,270.88 = 488 : x
  2. Step 2: Convert to fraction form
    1,514.24/2,270.88 = 488/x
  3. Step 3: Cross multiply
    1,514.24x = 2,270.88 × 488
  4. Step 4: Simplify right side
    1,514.24x = 1,108,189.44
  5. Step 5: Solve for x
    x = 1,108,189.44/1,514.24
  6. Step 6: Final answer
    x = 731.85

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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.