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Finding the Fourth Proportional to 1,074.87, 1,613.18 and 459.27

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Solution

The fourth proportional to 1,074.87, 1,613.18 and 459.27 is: 689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.87 : 1,613.18 = 459.27 : x
  2. Step 2: Convert to fraction form
    1,074.87/1,613.18 = 459.27/x
  3. Step 3: Cross multiply
    1,074.87x = 1,613.18 × 459.27
  4. Step 4: Simplify right side
    1,074.87x = 740,886.33
  5. Step 5: Solve for x
    x = 740,886.33/1,074.87
  6. Step 6: Final answer
    x = 689.28

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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.