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Finding the Fourth Proportional to 870.98, 1,201.01 and 622.20

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Solution

The fourth proportional to 870.98, 1,201.01 and 622.20 is: 857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.98 : 1,201.01 = 622.20 : x
  2. Step 2: Convert to fraction form
    870.98/1,201.01 = 622.20/x
  3. Step 3: Cross multiply
    870.98x = 1,201.01 × 622.20
  4. Step 4: Simplify right side
    870.98x = 747,265.31
  5. Step 5: Solve for x
    x = 747,265.31/870.98
  6. Step 6: Final answer
    x = 857.96

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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.