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Finding the Fourth Proportional to 1,314.95, 1,972.52 and 449.25

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Solution

The fourth proportional to 1,314.95, 1,972.52 and 449.25 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.95 : 1,972.52 = 449.25 : x
  2. Step 2: Convert to fraction form
    1,314.95/1,972.52 = 449.25/x
  3. Step 3: Cross multiply
    1,314.95x = 1,972.52 × 449.25
  4. Step 4: Simplify right side
    1,314.95x = 886,152.36
  5. Step 5: Solve for x
    x = 886,152.36/1,314.95
  6. Step 6: Final answer
    x = 673.91

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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.