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Finding the Fourth Proportional to 1,145.95, 1,581.42 and 648.61

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Solution

The fourth proportional to 1,145.95, 1,581.42 and 648.61 is: 895.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.95 : 1,581.42 = 648.61 : x
  2. Step 2: Convert to fraction form
    1,145.95/1,581.42 = 648.61/x
  3. Step 3: Cross multiply
    1,145.95x = 1,581.42 × 648.61
  4. Step 4: Simplify right side
    1,145.95x = 1,025,724.83
  5. Step 5: Solve for x
    x = 1,025,724.83/1,145.95
  6. Step 6: Final answer
    x = 895.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.