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Finding the Fourth Proportional to 1,153.34, 1,726.76 and 878.30

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Solution

The fourth proportional to 1,153.34, 1,726.76 and 878.30 is: 1,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.34 : 1,726.76 = 878.30 : x
  2. Step 2: Convert to fraction form
    1,153.34/1,726.76 = 878.30/x
  3. Step 3: Cross multiply
    1,153.34x = 1,726.76 × 878.30
  4. Step 4: Simplify right side
    1,153.34x = 1,516,613.31
  5. Step 5: Solve for x
    x = 1,516,613.31/1,153.34
  6. Step 6: Final answer
    x = 1,314.98

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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.