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Finding the Fourth Proportional to 1,143.48, 1,714.26 and 459

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Solution

The fourth proportional to 1,143.48, 1,714.26 and 459 is: 688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.48 : 1,714.26 = 459 : x
  2. Step 2: Convert to fraction form
    1,143.48/1,714.26 = 459/x
  3. Step 3: Cross multiply
    1,143.48x = 1,714.26 × 459
  4. Step 4: Simplify right side
    1,143.48x = 786,845.34
  5. Step 5: Solve for x
    x = 786,845.34/1,143.48
  6. Step 6: Final answer
    x = 688.11

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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.