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Finding the Fourth Proportional to 877.01, 1,211.88 and 834.30

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Solution

The fourth proportional to 877.01, 1,211.88 and 834.30 is: 1,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.01 : 1,211.88 = 834.30 : x
  2. Step 2: Convert to fraction form
    877.01/1,211.88 = 834.30/x
  3. Step 3: Cross multiply
    877.01x = 1,211.88 × 834.30
  4. Step 4: Simplify right side
    877.01x = 1,011,077.24
  5. Step 5: Solve for x
    x = 1,011,077.24/877.01
  6. Step 6: Final answer
    x = 1,152.86

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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.