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Finding the Fourth Proportional to 876.33, 1,202.08 and 858.10

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Solution

The fourth proportional to 876.33, 1,202.08 and 858.10 is: 1,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.33 : 1,202.08 = 858.10 : x
  2. Step 2: Convert to fraction form
    876.33/1,202.08 = 858.10/x
  3. Step 3: Cross multiply
    876.33x = 1,202.08 × 858.10
  4. Step 4: Simplify right side
    876.33x = 1,031,504.85
  5. Step 5: Solve for x
    x = 1,031,504.85/876.33
  6. Step 6: Final answer
    x = 1,177.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.