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Finding the Fourth Proportional to 1,150.59, 1,723.49 and 534.83

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Solution

The fourth proportional to 1,150.59, 1,723.49 and 534.83 is: 801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.59 : 1,723.49 = 534.83 : x
  2. Step 2: Convert to fraction form
    1,150.59/1,723.49 = 534.83/x
  3. Step 3: Cross multiply
    1,150.59x = 1,723.49 × 534.83
  4. Step 4: Simplify right side
    1,150.59x = 921,762.87
  5. Step 5: Solve for x
    x = 921,762.87/1,150.59
  6. Step 6: Final answer
    x = 801.12

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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.