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Finding the Fourth Proportional to 786.78, 1,180.26 and 542.70

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Solution

The fourth proportional to 786.78, 1,180.26 and 542.70 is: 814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.78 : 1,180.26 = 542.70 : x
  2. Step 2: Convert to fraction form
    786.78/1,180.26 = 542.70/x
  3. Step 3: Cross multiply
    786.78x = 1,180.26 × 542.70
  4. Step 4: Simplify right side
    786.78x = 640,527.10
  5. Step 5: Solve for x
    x = 640,527.10/786.78
  6. Step 6: Final answer
    x = 814.11

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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.