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Finding the Fourth Proportional to 781.55, 1,078.64 and 755.91

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Solution

The fourth proportional to 781.55, 1,078.64 and 755.91 is: 1,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.55 : 1,078.64 = 755.91 : x
  2. Step 2: Convert to fraction form
    781.55/1,078.64 = 755.91/x
  3. Step 3: Cross multiply
    781.55x = 1,078.64 × 755.91
  4. Step 4: Simplify right side
    781.55x = 815,358.07
  5. Step 5: Solve for x
    x = 815,358.07/781.55
  6. Step 6: Final answer
    x = 1,043.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.