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Finding the Fourth Proportional to 787.59, 1,178.70 and 494.97

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Solution

The fourth proportional to 787.59, 1,178.70 and 494.97 is: 740.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.59 : 1,178.70 = 494.97 : x
  2. Step 2: Convert to fraction form
    787.59/1,178.70 = 494.97/x
  3. Step 3: Cross multiply
    787.59x = 1,178.70 × 494.97
  4. Step 4: Simplify right side
    787.59x = 583,421.14
  5. Step 5: Solve for x
    x = 583,421.14/787.59
  6. Step 6: Final answer
    x = 740.77

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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.