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Finding the Fourth Proportional to 834.60, 1,254.60 and 592.80

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Solution

The fourth proportional to 834.60, 1,254.60 and 592.80 is: 891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.60 : 1,254.60 = 592.80 : x
  2. Step 2: Convert to fraction form
    834.60/1,254.60 = 592.80/x
  3. Step 3: Cross multiply
    834.60x = 1,254.60 × 592.80
  4. Step 4: Simplify right side
    834.60x = 743,726.88
  5. Step 5: Solve for x
    x = 743,726.88/834.60
  6. Step 6: Final answer
    x = 891.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.