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Finding the Fourth Proportional to 1,003.99, 1,386.14 and 689.78

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Solution

The fourth proportional to 1,003.99, 1,386.14 and 689.78 is: 952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.99 : 1,386.14 = 689.78 : x
  2. Step 2: Convert to fraction form
    1,003.99/1,386.14 = 689.78/x
  3. Step 3: Cross multiply
    1,003.99x = 1,386.14 × 689.78
  4. Step 4: Simplify right side
    1,003.99x = 956,131.65
  5. Step 5: Solve for x
    x = 956,131.65/1,003.99
  6. Step 6: Final answer
    x = 952.33

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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.