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Finding the Fourth Proportional to 1,314.64, 1,972.16 and 448.75

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Solution

The fourth proportional to 1,314.64, 1,972.16 and 448.75 is: 673.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.64 : 1,972.16 = 448.75 : x
  2. Step 2: Convert to fraction form
    1,314.64/1,972.16 = 448.75/x
  3. Step 3: Cross multiply
    1,314.64x = 1,972.16 × 448.75
  4. Step 4: Simplify right side
    1,314.64x = 885,006.80
  5. Step 5: Solve for x
    x = 885,006.80/1,314.64
  6. Step 6: Final answer
    x = 673.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.