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Finding the Fourth Proportional to 1,729.13, 2,593.76 and 689.63

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Solution

The fourth proportional to 1,729.13, 2,593.76 and 689.63 is: 1,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.13 : 2,593.76 = 689.63 : x
  2. Step 2: Convert to fraction form
    1,729.13/2,593.76 = 689.63/x
  3. Step 3: Cross multiply
    1,729.13x = 2,593.76 × 689.63
  4. Step 4: Simplify right side
    1,729.13x = 1,788,718.29
  5. Step 5: Solve for x
    x = 1,788,718.29/1,729.13
  6. Step 6: Final answer
    x = 1,034.46

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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.