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Finding the Fourth Proportional to 793.04, 1,187.66 and 778.46

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Solution

The fourth proportional to 793.04, 1,187.66 and 778.46 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.04 : 1,187.66 = 778.46 : x
  2. Step 2: Convert to fraction form
    793.04/1,187.66 = 778.46/x
  3. Step 3: Cross multiply
    793.04x = 1,187.66 × 778.46
  4. Step 4: Simplify right side
    793.04x = 924,545.80
  5. Step 5: Solve for x
    x = 924,545.80/793.04
  6. Step 6: Final answer
    x = 1,165.82

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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.