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Finding the Fourth Proportional to 1,145.71, 1,581.16 and 648.35

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Solution

The fourth proportional to 1,145.71, 1,581.16 and 648.35 is: 894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.71 : 1,581.16 = 648.35 : x
  2. Step 2: Convert to fraction form
    1,145.71/1,581.16 = 648.35/x
  3. Step 3: Cross multiply
    1,145.71x = 1,581.16 × 648.35
  4. Step 4: Simplify right side
    1,145.71x = 1,025,133.94
  5. Step 5: Solve for x
    x = 1,025,133.94/1,145.71
  6. Step 6: Final answer
    x = 894.76

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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.