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Finding the Fourth Proportional to 1,417.24, 1,955.65 and 787.73

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Solution

The fourth proportional to 1,417.24, 1,955.65 and 787.73 is: 1,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.24 : 1,955.65 = 787.73 : x
  2. Step 2: Convert to fraction form
    1,417.24/1,955.65 = 787.73/x
  3. Step 3: Cross multiply
    1,417.24x = 1,955.65 × 787.73
  4. Step 4: Simplify right side
    1,417.24x = 1,540,527.09
  5. Step 5: Solve for x
    x = 1,540,527.09/1,417.24
  6. Step 6: Final answer
    x = 1,086.99

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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.