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Finding the Fourth Proportional to 1,030.56, 1,422 and 616.56

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Solution

The fourth proportional to 1,030.56, 1,422 and 616.56 is: 850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.56 : 1,422 = 616.56 : x
  2. Step 2: Convert to fraction form
    1,030.56/1,422 = 616.56/x
  3. Step 3: Cross multiply
    1,030.56x = 1,422 × 616.56
  4. Step 4: Simplify right side
    1,030.56x = 876,748.32
  5. Step 5: Solve for x
    x = 876,748.32/1,030.56
  6. Step 6: Final answer
    x = 850.75

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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.