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Finding the Fourth Proportional to 1,374.15, 2,061.57 and 400.35

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Solution

The fourth proportional to 1,374.15, 2,061.57 and 400.35 is: 600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.15 : 2,061.57 = 400.35 : x
  2. Step 2: Convert to fraction form
    1,374.15/2,061.57 = 400.35/x
  3. Step 3: Cross multiply
    1,374.15x = 2,061.57 × 400.35
  4. Step 4: Simplify right side
    1,374.15x = 825,349.55
  5. Step 5: Solve for x
    x = 825,349.55/1,374.15
  6. Step 6: Final answer
    x = 600.63

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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.