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Finding the Fourth Proportional to 1,009.80, 1,393.10 and 616.59

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Solution

The fourth proportional to 1,009.80, 1,393.10 and 616.59 is: 850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.80 : 1,393.10 = 616.59 : x
  2. Step 2: Convert to fraction form
    1,009.80/1,393.10 = 616.59/x
  3. Step 3: Cross multiply
    1,009.80x = 1,393.10 × 616.59
  4. Step 4: Simplify right side
    1,009.80x = 858,968.45
  5. Step 5: Solve for x
    x = 858,968.45/1,009.80
  6. Step 6: Final answer
    x = 850.63

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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.