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Finding the Fourth Proportional to 1,202.22, 1,655.58 and 870.12

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Solution

The fourth proportional to 1,202.22, 1,655.58 and 870.12 is: 1,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.22 : 1,655.58 = 870.12 : x
  2. Step 2: Convert to fraction form
    1,202.22/1,655.58 = 870.12/x
  3. Step 3: Cross multiply
    1,202.22x = 1,655.58 × 870.12
  4. Step 4: Simplify right side
    1,202.22x = 1,440,553.27
  5. Step 5: Solve for x
    x = 1,440,553.27/1,202.22
  6. Step 6: Final answer
    x = 1,198.24

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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.