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Finding the Fourth Proportional to 781.25, 1,078.59 and 486.92

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Solution

The fourth proportional to 781.25, 1,078.59 and 486.92 is: 672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.25 : 1,078.59 = 486.92 : x
  2. Step 2: Convert to fraction form
    781.25/1,078.59 = 486.92/x
  3. Step 3: Cross multiply
    781.25x = 1,078.59 × 486.92
  4. Step 4: Simplify right side
    781.25x = 525,185.50
  5. Step 5: Solve for x
    x = 525,185.50/781.25
  6. Step 6: Final answer
    x = 672.24

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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.