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Finding the Fourth Proportional to 1,132.06, 1,697.91 and 482.71

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Solution

The fourth proportional to 1,132.06, 1,697.91 and 482.71 is: 723.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.06 : 1,697.91 = 482.71 : x
  2. Step 2: Convert to fraction form
    1,132.06/1,697.91 = 482.71/x
  3. Step 3: Cross multiply
    1,132.06x = 1,697.91 × 482.71
  4. Step 4: Simplify right side
    1,132.06x = 819,598.14
  5. Step 5: Solve for x
    x = 819,598.14/1,132.06
  6. Step 6: Final answer
    x = 723.99

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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.