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Finding the Fourth Proportional to 781.47, 1,078.56 and 486.84

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Solution

The fourth proportional to 781.47, 1,078.56 and 486.84 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.47 : 1,078.56 = 486.84 : x
  2. Step 2: Convert to fraction form
    781.47/1,078.56 = 486.84/x
  3. Step 3: Cross multiply
    781.47x = 1,078.56 × 486.84
  4. Step 4: Simplify right side
    781.47x = 525,080.28
  5. Step 5: Solve for x
    x = 525,080.28/781.47
  6. Step 6: Final answer
    x = 671.91

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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.