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Finding the Fourth Proportional to 778.01, 1,164.98 and 754.92

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Solution

The fourth proportional to 778.01, 1,164.98 and 754.92 is: 1,130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.01 : 1,164.98 = 754.92 : x
  2. Step 2: Convert to fraction form
    778.01/1,164.98 = 754.92/x
  3. Step 3: Cross multiply
    778.01x = 1,164.98 × 754.92
  4. Step 4: Simplify right side
    778.01x = 879,468.59
  5. Step 5: Solve for x
    x = 879,468.59/778.01
  6. Step 6: Final answer
    x = 1,130.42

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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.