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Finding the Fourth Proportional to 1,132.23, 1,697.54 and 482.61

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Solution

The fourth proportional to 1,132.23, 1,697.54 and 482.61 is: 723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.23 : 1,697.54 = 482.61 : x
  2. Step 2: Convert to fraction form
    1,132.23/1,697.54 = 482.61/x
  3. Step 3: Cross multiply
    1,132.23x = 1,697.54 × 482.61
  4. Step 4: Simplify right side
    1,132.23x = 819,247.37
  5. Step 5: Solve for x
    x = 819,247.37/1,132.23
  6. Step 6: Final answer
    x = 723.57

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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.