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Finding the Fourth Proportional to 1,295.47, 1,787.23 and 902.73

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Solution

The fourth proportional to 1,295.47, 1,787.23 and 902.73 is: 1,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.47 : 1,787.23 = 902.73 : x
  2. Step 2: Convert to fraction form
    1,295.47/1,787.23 = 902.73/x
  3. Step 3: Cross multiply
    1,295.47x = 1,787.23 × 902.73
  4. Step 4: Simplify right side
    1,295.47x = 1,613,386.14
  5. Step 5: Solve for x
    x = 1,613,386.14/1,295.47
  6. Step 6: Final answer
    x = 1,245.41

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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.