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Finding the Fourth Proportional to 1,417.26, 1,955.74 and 787.78

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Solution

The fourth proportional to 1,417.26, 1,955.74 and 787.78 is: 1,087.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.26 : 1,955.74 = 787.78 : x
  2. Step 2: Convert to fraction form
    1,417.26/1,955.74 = 787.78/x
  3. Step 3: Cross multiply
    1,417.26x = 1,955.74 × 787.78
  4. Step 4: Simplify right side
    1,417.26x = 1,540,692.86
  5. Step 5: Solve for x
    x = 1,540,692.86/1,417.26
  6. Step 6: Final answer
    x = 1,087.09

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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.