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Finding the Fourth Proportional to 1,147.74, 1,721.70 and 688.65

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Solution

The fourth proportional to 1,147.74, 1,721.70 and 688.65 is: 1,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.74 : 1,721.70 = 688.65 : x
  2. Step 2: Convert to fraction form
    1,147.74/1,721.70 = 688.65/x
  3. Step 3: Cross multiply
    1,147.74x = 1,721.70 × 688.65
  4. Step 4: Simplify right side
    1,147.74x = 1,185,648.71
  5. Step 5: Solve for x
    x = 1,185,648.71/1,147.74
  6. Step 6: Final answer
    x = 1,033.03

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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.