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Finding the Fourth Proportional to 1,142.59, 1,714.55 and 484.43

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Solution

The fourth proportional to 1,142.59, 1,714.55 and 484.43 is: 726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.59 : 1,714.55 = 484.43 : x
  2. Step 2: Convert to fraction form
    1,142.59/1,714.55 = 484.43/x
  3. Step 3: Cross multiply
    1,142.59x = 1,714.55 × 484.43
  4. Step 4: Simplify right side
    1,142.59x = 830,580.83
  5. Step 5: Solve for x
    x = 830,580.83/1,142.59
  6. Step 6: Final answer
    x = 726.93

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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.