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Finding the Fourth Proportional to 786.18, 1,178.37 and 542.82

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Solution

The fourth proportional to 786.18, 1,178.37 and 542.82 is: 813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.18 : 1,178.37 = 542.82 : x
  2. Step 2: Convert to fraction form
    786.18/1,178.37 = 542.82/x
  3. Step 3: Cross multiply
    786.18x = 1,178.37 × 542.82
  4. Step 4: Simplify right side
    786.18x = 639,642.80
  5. Step 5: Solve for x
    x = 639,642.80/786.18
  6. Step 6: Final answer
    x = 813.61

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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.