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Finding the Fourth Proportional to 1,074.72, 1,612.31 and 425.46

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Solution

The fourth proportional to 1,074.72, 1,612.31 and 425.46 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.72 : 1,612.31 = 425.46 : x
  2. Step 2: Convert to fraction form
    1,074.72/1,612.31 = 425.46/x
  3. Step 3: Cross multiply
    1,074.72x = 1,612.31 × 425.46
  4. Step 4: Simplify right side
    1,074.72x = 685,973.41
  5. Step 5: Solve for x
    x = 685,973.41/1,074.72
  6. Step 6: Final answer
    x = 638.28

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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.