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Finding the Fourth Proportional to 787.07, 1,177.85 and 540.34

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Solution

The fourth proportional to 787.07, 1,177.85 and 540.34 is: 808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.07 : 1,177.85 = 540.34 : x
  2. Step 2: Convert to fraction form
    787.07/1,177.85 = 540.34/x
  3. Step 3: Cross multiply
    787.07x = 1,177.85 × 540.34
  4. Step 4: Simplify right side
    787.07x = 636,437.88
  5. Step 5: Solve for x
    x = 636,437.88/787.07
  6. Step 6: Final answer
    x = 808.61

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Why These Related Problems?

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