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Finding the Fourth Proportional to 787.35, 1,179.70 and 555.86

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Solution

The fourth proportional to 787.35, 1,179.70 and 555.86 is: 832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.35 : 1,179.70 = 555.86 : x
  2. Step 2: Convert to fraction form
    787.35/1,179.70 = 555.86/x
  3. Step 3: Cross multiply
    787.35x = 1,179.70 × 555.86
  4. Step 4: Simplify right side
    787.35x = 655,748.04
  5. Step 5: Solve for x
    x = 655,748.04/787.35
  6. Step 6: Final answer
    x = 832.85

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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.