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Finding the Fourth Proportional to 1,131.42, 1,697.67 and 482.61

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Solution

The fourth proportional to 1,131.42, 1,697.67 and 482.61 is: 724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.42 : 1,697.67 = 482.61 : x
  2. Step 2: Convert to fraction form
    1,131.42/1,697.67 = 482.61/x
  3. Step 3: Cross multiply
    1,131.42x = 1,697.67 × 482.61
  4. Step 4: Simplify right side
    1,131.42x = 819,312.52
  5. Step 5: Solve for x
    x = 819,312.52/1,131.42
  6. Step 6: Final answer
    x = 724.15

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