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Finding the Fourth Proportional to 1,042.60, 1,439.04 and 600.76

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Solution

The fourth proportional to 1,042.60, 1,439.04 and 600.76 is: 829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.60 : 1,439.04 = 600.76 : x
  2. Step 2: Convert to fraction form
    1,042.60/1,439.04 = 600.76/x
  3. Step 3: Cross multiply
    1,042.60x = 1,439.04 × 600.76
  4. Step 4: Simplify right side
    1,042.60x = 864,517.67
  5. Step 5: Solve for x
    x = 864,517.67/1,042.60
  6. Step 6: Final answer
    x = 829.19

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1.5x scale

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.