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Finding the Fourth Proportional to 1,150.38, 1,726.27 and 501.16

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Solution

The fourth proportional to 1,150.38, 1,726.27 and 501.16 is: 752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.38 : 1,726.27 = 501.16 : x
  2. Step 2: Convert to fraction form
    1,150.38/1,726.27 = 501.16/x
  3. Step 3: Cross multiply
    1,150.38x = 1,726.27 × 501.16
  4. Step 4: Simplify right side
    1,150.38x = 865,137.47
  5. Step 5: Solve for x
    x = 865,137.47/1,150.38
  6. Step 6: Final answer
    x = 752.05

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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.