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Finding the Fourth Proportional to 1,294.47, 1,785.85 and 901.73

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Solution

The fourth proportional to 1,294.47, 1,785.85 and 901.73 is: 1,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.47 : 1,785.85 = 901.73 : x
  2. Step 2: Convert to fraction form
    1,294.47/1,785.85 = 901.73/x
  3. Step 3: Cross multiply
    1,294.47x = 1,785.85 × 901.73
  4. Step 4: Simplify right side
    1,294.47x = 1,610,356.73
  5. Step 5: Solve for x
    x = 1,610,356.73/1,294.47
  6. Step 6: Final answer
    x = 1,244.03

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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.