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Finding the Fourth Proportional to 1,006.81, 1,389.68 and 708.13

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Solution

The fourth proportional to 1,006.81, 1,389.68 and 708.13 is: 977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.81 : 1,389.68 = 708.13 : x
  2. Step 2: Convert to fraction form
    1,006.81/1,389.68 = 708.13/x
  3. Step 3: Cross multiply
    1,006.81x = 1,389.68 × 708.13
  4. Step 4: Simplify right side
    1,006.81x = 984,072.39
  5. Step 5: Solve for x
    x = 984,072.39/1,006.81
  6. Step 6: Final answer
    x = 977.42

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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.