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Finding the Fourth Proportional to 1,366.86, 2,047.02 and 787.98

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Solution

The fourth proportional to 1,366.86, 2,047.02 and 787.98 is: 1,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.86 : 2,047.02 = 787.98 : x
  2. Step 2: Convert to fraction form
    1,366.86/2,047.02 = 787.98/x
  3. Step 3: Cross multiply
    1,366.86x = 2,047.02 × 787.98
  4. Step 4: Simplify right side
    1,366.86x = 1,613,010.82
  5. Step 5: Solve for x
    x = 1,613,010.82/1,366.86
  6. Step 6: Final answer
    x = 1,180.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.