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Finding the Fourth Proportional to 781.90, 1,079.04 and 427.82

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Solution

The fourth proportional to 781.90, 1,079.04 and 427.82 is: 590.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.90 : 1,079.04 = 427.82 : x
  2. Step 2: Convert to fraction form
    781.90/1,079.04 = 427.82/x
  3. Step 3: Cross multiply
    781.90x = 1,079.04 × 427.82
  4. Step 4: Simplify right side
    781.90x = 461,634.89
  5. Step 5: Solve for x
    x = 461,634.89/781.90
  6. Step 6: Final answer
    x = 590.40

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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.