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Finding the Fourth Proportional to 901.18, 1,240.73 and 701.78

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Solution

The fourth proportional to 901.18, 1,240.73 and 701.78 is: 966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.18 : 1,240.73 = 701.78 : x
  2. Step 2: Convert to fraction form
    901.18/1,240.73 = 701.78/x
  3. Step 3: Cross multiply
    901.18x = 1,240.73 × 701.78
  4. Step 4: Simplify right side
    901.18x = 870,712.42
  5. Step 5: Solve for x
    x = 870,712.42/901.18
  6. Step 6: Final answer
    x = 966.19

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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.