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Finding the Fourth Proportional to 876.64, 1,314.95 and 823.18

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Solution

The fourth proportional to 876.64, 1,314.95 and 823.18 is: 1,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.64 : 1,314.95 = 823.18 : x
  2. Step 2: Convert to fraction form
    876.64/1,314.95 = 823.18/x
  3. Step 3: Cross multiply
    876.64x = 1,314.95 × 823.18
  4. Step 4: Simplify right side
    876.64x = 1,082,440.54
  5. Step 5: Solve for x
    x = 1,082,440.54/876.64
  6. Step 6: Final answer
    x = 1,234.76

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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.