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Finding the Fourth Proportional to 926.27, 1,387.52 and 895.13

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Solution

The fourth proportional to 926.27, 1,387.52 and 895.13 is: 1,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.27 : 1,387.52 = 895.13 : x
  2. Step 2: Convert to fraction form
    926.27/1,387.52 = 895.13/x
  3. Step 3: Cross multiply
    926.27x = 1,387.52 × 895.13
  4. Step 4: Simplify right side
    926.27x = 1,242,006.30
  5. Step 5: Solve for x
    x = 1,242,006.30/926.27
  6. Step 6: Final answer
    x = 1,340.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.