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Finding the Fourth Proportional to 1,244.77, 1,717.77 and 685.24

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Solution

The fourth proportional to 1,244.77, 1,717.77 and 685.24 is: 945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.77 : 1,717.77 = 685.24 : x
  2. Step 2: Convert to fraction form
    1,244.77/1,717.77 = 685.24/x
  3. Step 3: Cross multiply
    1,244.77x = 1,717.77 × 685.24
  4. Step 4: Simplify right side
    1,244.77x = 1,177,084.71
  5. Step 5: Solve for x
    x = 1,177,084.71/1,244.77
  6. Step 6: Final answer
    x = 945.62

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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.