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Finding the Fourth Proportional to 782.67, 1,080.55 and 488.35

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Solution

The fourth proportional to 782.67, 1,080.55 and 488.35 is: 674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.67 : 1,080.55 = 488.35 : x
  2. Step 2: Convert to fraction form
    782.67/1,080.55 = 488.35/x
  3. Step 3: Cross multiply
    782.67x = 1,080.55 × 488.35
  4. Step 4: Simplify right side
    782.67x = 527,686.59
  5. Step 5: Solve for x
    x = 527,686.59/782.67
  6. Step 6: Final answer
    x = 674.21

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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.