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Finding the Fourth Proportional to 787.86, 1,182.40 and 513.88

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Solution

The fourth proportional to 787.86, 1,182.40 and 513.88 is: 771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,182.40 = 513.88 : x
  2. Step 2: Convert to fraction form
    787.86/1,182.40 = 513.88/x
  3. Step 3: Cross multiply
    787.86x = 1,182.40 × 513.88
  4. Step 4: Simplify right side
    787.86x = 607,607.47
  5. Step 5: Solve for x
    x = 607,607.47/787.86
  6. Step 6: Final answer
    x = 771.21

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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.