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Finding the Fourth Proportional to 1,008.06, 1,391.13 and 559.94

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Solution

The fourth proportional to 1,008.06, 1,391.13 and 559.94 is: 772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.06 : 1,391.13 = 559.94 : x
  2. Step 2: Convert to fraction form
    1,008.06/1,391.13 = 559.94/x
  3. Step 3: Cross multiply
    1,008.06x = 1,391.13 × 559.94
  4. Step 4: Simplify right side
    1,008.06x = 778,949.33
  5. Step 5: Solve for x
    x = 778,949.33/1,008.06
  6. Step 6: Final answer
    x = 772.72

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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.