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Finding the Fourth Proportional to 1,244.65, 1,717.61 and 706.39

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Solution

The fourth proportional to 1,244.65, 1,717.61 and 706.39 is: 974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.65 : 1,717.61 = 706.39 : x
  2. Step 2: Convert to fraction form
    1,244.65/1,717.61 = 706.39/x
  3. Step 3: Cross multiply
    1,244.65x = 1,717.61 × 706.39
  4. Step 4: Simplify right side
    1,244.65x = 1,213,306.87
  5. Step 5: Solve for x
    x = 1,213,306.87/1,244.65
  6. Step 6: Final answer
    x = 974.81

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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.