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Finding the Fourth Proportional to 738.58, 1,020.27 and 699.70

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Solution

The fourth proportional to 738.58, 1,020.27 and 699.70 is: 966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.58 : 1,020.27 = 699.70 : x
  2. Step 2: Convert to fraction form
    738.58/1,020.27 = 699.70/x
  3. Step 3: Cross multiply
    738.58x = 1,020.27 × 699.70
  4. Step 4: Simplify right side
    738.58x = 713,882.92
  5. Step 5: Solve for x
    x = 713,882.92/738.58
  6. Step 6: Final answer
    x = 966.56

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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.