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Finding the Fourth Proportional to 1,009.82, 1,394.07 and 698.78

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Solution

The fourth proportional to 1,009.82, 1,394.07 and 698.78 is: 964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.82 : 1,394.07 = 698.78 : x
  2. Step 2: Convert to fraction form
    1,009.82/1,394.07 = 698.78/x
  3. Step 3: Cross multiply
    1,009.82x = 1,394.07 × 698.78
  4. Step 4: Simplify right side
    1,009.82x = 974,148.23
  5. Step 5: Solve for x
    x = 974,148.23/1,009.82
  6. Step 6: Final answer
    x = 964.68

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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.