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Finding the Fourth Proportional to 1,314.46, 1,972.05 and 448.66

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Solution

The fourth proportional to 1,314.46, 1,972.05 and 448.66 is: 673.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.46 : 1,972.05 = 448.66 : x
  2. Step 2: Convert to fraction form
    1,314.46/1,972.05 = 448.66/x
  3. Step 3: Cross multiply
    1,314.46x = 1,972.05 × 448.66
  4. Step 4: Simplify right side
    1,314.46x = 884,779.95
  5. Step 5: Solve for x
    x = 884,779.95/1,314.46
  6. Step 6: Final answer
    x = 673.11

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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.