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Finding the Fourth Proportional to 876.16, 1,313.44 and 824.32

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Solution

The fourth proportional to 876.16, 1,313.44 and 824.32 is: 1,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.16 : 1,313.44 = 824.32 : x
  2. Step 2: Convert to fraction form
    876.16/1,313.44 = 824.32/x
  3. Step 3: Cross multiply
    876.16x = 1,313.44 × 824.32
  4. Step 4: Simplify right side
    876.16x = 1,082,694.86
  5. Step 5: Solve for x
    x = 1,082,694.86/876.16
  6. Step 6: Final answer
    x = 1,235.73

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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.