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Finding the Fourth Proportional to 1,095.28, 1,641.29 and 901.65

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Solution

The fourth proportional to 1,095.28, 1,641.29 and 901.65 is: 1,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.28 : 1,641.29 = 901.65 : x
  2. Step 2: Convert to fraction form
    1,095.28/1,641.29 = 901.65/x
  3. Step 3: Cross multiply
    1,095.28x = 1,641.29 × 901.65
  4. Step 4: Simplify right side
    1,095.28x = 1,479,869.13
  5. Step 5: Solve for x
    x = 1,479,869.13/1,095.28
  6. Step 6: Final answer
    x = 1,351.14

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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.