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Finding the Fourth Proportional to 1,150.07, 1,723.55 and 532.31

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Solution

The fourth proportional to 1,150.07, 1,723.55 and 532.31 is: 797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.07 : 1,723.55 = 532.31 : x
  2. Step 2: Convert to fraction form
    1,150.07/1,723.55 = 532.31/x
  3. Step 3: Cross multiply
    1,150.07x = 1,723.55 × 532.31
  4. Step 4: Simplify right side
    1,150.07x = 917,451.62
  5. Step 5: Solve for x
    x = 917,451.62/1,150.07
  6. Step 6: Final answer
    x = 797.74

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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.