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Finding the Fourth Proportional to 1,229.88, 1,697.17 and 705.88

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Solution

The fourth proportional to 1,229.88, 1,697.17 and 705.88 is: 974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.88 : 1,697.17 = 705.88 : x
  2. Step 2: Convert to fraction form
    1,229.88/1,697.17 = 705.88/x
  3. Step 3: Cross multiply
    1,229.88x = 1,697.17 × 705.88
  4. Step 4: Simplify right side
    1,229.88x = 1,197,986.34
  5. Step 5: Solve for x
    x = 1,197,986.34/1,229.88
  6. Step 6: Final answer
    x = 974.07

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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.