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Finding the Fourth Proportional to 1,217.16, 1,824.48 and 974.16

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Solution

The fourth proportional to 1,217.16, 1,824.48 and 974.16 is: 1,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.16 : 1,824.48 = 974.16 : x
  2. Step 2: Convert to fraction form
    1,217.16/1,824.48 = 974.16/x
  3. Step 3: Cross multiply
    1,217.16x = 1,824.48 × 974.16
  4. Step 4: Simplify right side
    1,217.16x = 1,777,335.44
  5. Step 5: Solve for x
    x = 1,777,335.44/1,217.16
  6. Step 6: Final answer
    x = 1,460.23

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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.