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Finding the Fourth Proportional to 878.01, 1,211.88 and 642.30

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Solution

The fourth proportional to 878.01, 1,211.88 and 642.30 is: 886.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.01 : 1,211.88 = 642.30 : x
  2. Step 2: Convert to fraction form
    878.01/1,211.88 = 642.30/x
  3. Step 3: Cross multiply
    878.01x = 1,211.88 × 642.30
  4. Step 4: Simplify right side
    878.01x = 778,390.52
  5. Step 5: Solve for x
    x = 778,390.52/878.01
  6. Step 6: Final answer
    x = 886.54

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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.