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Finding the Fourth Proportional to 876.59, 1,314.88 and 823.13

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Solution

The fourth proportional to 876.59, 1,314.88 and 823.13 is: 1,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.59 : 1,314.88 = 823.13 : x
  2. Step 2: Convert to fraction form
    876.59/1,314.88 = 823.13/x
  3. Step 3: Cross multiply
    876.59x = 1,314.88 × 823.13
  4. Step 4: Simplify right side
    876.59x = 1,082,318.10
  5. Step 5: Solve for x
    x = 1,082,318.10/876.59
  6. Step 6: Final answer
    x = 1,234.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.