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Finding the Fourth Proportional to 781.81, 1,078.97 and 584.98

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Solution

The fourth proportional to 781.81, 1,078.97 and 584.98 is: 807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.81 : 1,078.97 = 584.98 : x
  2. Step 2: Convert to fraction form
    781.81/1,078.97 = 584.98/x
  3. Step 3: Cross multiply
    781.81x = 1,078.97 × 584.98
  4. Step 4: Simplify right side
    781.81x = 631,170.25
  5. Step 5: Solve for x
    x = 631,170.25/781.81
  6. Step 6: Final answer
    x = 807.32

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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.