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Finding the Fourth Proportional to 1,152.55, 1,726.29 and 952.62

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Solution

The fourth proportional to 1,152.55, 1,726.29 and 952.62 is: 1,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.55 : 1,726.29 = 952.62 : x
  2. Step 2: Convert to fraction form
    1,152.55/1,726.29 = 952.62/x
  3. Step 3: Cross multiply
    1,152.55x = 1,726.29 × 952.62
  4. Step 4: Simplify right side
    1,152.55x = 1,644,493.62
  5. Step 5: Solve for x
    x = 1,644,493.62/1,152.55
  6. Step 6: Final answer
    x = 1,426.83

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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.