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Finding the Fourth Proportional to 1,697.20, 2,545.41 and 464.71

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Solution

The fourth proportional to 1,697.20, 2,545.41 and 464.71 is: 696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.20 : 2,545.41 = 464.71 : x
  2. Step 2: Convert to fraction form
    1,697.20/2,545.41 = 464.71/x
  3. Step 3: Cross multiply
    1,697.20x = 2,545.41 × 464.71
  4. Step 4: Simplify right side
    1,697.20x = 1,182,884.14
  5. Step 5: Solve for x
    x = 1,182,884.14/1,697.20
  6. Step 6: Final answer
    x = 696.96

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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.