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Finding the Fourth Proportional to 1,159.92, 1,739.10 and 543.28

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Solution

The fourth proportional to 1,159.92, 1,739.10 and 543.28 is: 814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.92 : 1,739.10 = 543.28 : x
  2. Step 2: Convert to fraction form
    1,159.92/1,739.10 = 543.28/x
  3. Step 3: Cross multiply
    1,159.92x = 1,739.10 × 543.28
  4. Step 4: Simplify right side
    1,159.92x = 944,818.25
  5. Step 5: Solve for x
    x = 944,818.25/1,159.92
  6. Step 6: Final answer
    x = 814.55

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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.