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Finding the Fourth Proportional to 1,158.24, 1,738.59 and 500.43

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Solution

The fourth proportional to 1,158.24, 1,738.59 and 500.43 is: 751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.24 : 1,738.59 = 500.43 : x
  2. Step 2: Convert to fraction form
    1,158.24/1,738.59 = 500.43/x
  3. Step 3: Cross multiply
    1,158.24x = 1,738.59 × 500.43
  4. Step 4: Simplify right side
    1,158.24x = 870,042.59
  5. Step 5: Solve for x
    x = 870,042.59/1,158.24
  6. Step 6: Final answer
    x = 751.18

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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.