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Finding the Fourth Proportional to 1,074.26, 1,612.04 and 424.98

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Solution

The fourth proportional to 1,074.26, 1,612.04 and 424.98 is: 637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.26 : 1,612.04 = 424.98 : x
  2. Step 2: Convert to fraction form
    1,074.26/1,612.04 = 424.98/x
  3. Step 3: Cross multiply
    1,074.26x = 1,612.04 × 424.98
  4. Step 4: Simplify right side
    1,074.26x = 685,082.63
  5. Step 5: Solve for x
    x = 685,082.63/1,074.26
  6. Step 6: Final answer
    x = 637.72

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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.