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Finding the Fourth Proportional to 1,145.79, 1,581.32 and 648.46

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Solution

The fourth proportional to 1,145.79, 1,581.32 and 648.46 is: 894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.79 : 1,581.32 = 648.46 : x
  2. Step 2: Convert to fraction form
    1,145.79/1,581.32 = 648.46/x
  3. Step 3: Cross multiply
    1,145.79x = 1,581.32 × 648.46
  4. Step 4: Simplify right side
    1,145.79x = 1,025,421.15
  5. Step 5: Solve for x
    x = 1,025,421.15/1,145.79
  6. Step 6: Final answer
    x = 894.95

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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.