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Finding the Fourth Proportional to 1,142.52, 1,714.68 and 412.80

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Solution

The fourth proportional to 1,142.52, 1,714.68 and 412.80 is: 619.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.52 : 1,714.68 = 412.80 : x
  2. Step 2: Convert to fraction form
    1,142.52/1,714.68 = 412.80/x
  3. Step 3: Cross multiply
    1,142.52x = 1,714.68 × 412.80
  4. Step 4: Simplify right side
    1,142.52x = 707,819.90
  5. Step 5: Solve for x
    x = 707,819.90/1,142.52
  6. Step 6: Final answer
    x = 619.53

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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.