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Finding the Fourth Proportional to 1,217.44, 1,680.04 and 693.44

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Solution

The fourth proportional to 1,217.44, 1,680.04 and 693.44 is: 956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.44 : 1,680.04 = 693.44 : x
  2. Step 2: Convert to fraction form
    1,217.44/1,680.04 = 693.44/x
  3. Step 3: Cross multiply
    1,217.44x = 1,680.04 × 693.44
  4. Step 4: Simplify right side
    1,217.44x = 1,165,006.94
  5. Step 5: Solve for x
    x = 1,165,006.94/1,217.44
  6. Step 6: Final answer
    x = 956.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.