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Finding the Fourth Proportional to 1,149.60, 1,722.84 and 600.66

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Solution

The fourth proportional to 1,149.60, 1,722.84 and 600.66 is: 900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.60 : 1,722.84 = 600.66 : x
  2. Step 2: Convert to fraction form
    1,149.60/1,722.84 = 600.66/x
  3. Step 3: Cross multiply
    1,149.60x = 1,722.84 × 600.66
  4. Step 4: Simplify right side
    1,149.60x = 1,034,841.07
  5. Step 5: Solve for x
    x = 1,034,841.07/1,149.60
  6. Step 6: Final answer
    x = 900.17

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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.