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Finding the Fourth Proportional to 1,224.62, 1,689.90 and 693.54

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Solution

The fourth proportional to 1,224.62, 1,689.90 and 693.54 is: 957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.62 : 1,689.90 = 693.54 : x
  2. Step 2: Convert to fraction form
    1,224.62/1,689.90 = 693.54/x
  3. Step 3: Cross multiply
    1,224.62x = 1,689.90 × 693.54
  4. Step 4: Simplify right side
    1,224.62x = 1,172,013.25
  5. Step 5: Solve for x
    x = 1,172,013.25/1,224.62
  6. Step 6: Final answer
    x = 957.04

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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.