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Finding the Fourth Proportional to 851.76, 1,176.16 and 824.24

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Solution

The fourth proportional to 851.76, 1,176.16 and 824.24 is: 1,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.76 : 1,176.16 = 824.24 : x
  2. Step 2: Convert to fraction form
    851.76/1,176.16 = 824.24/x
  3. Step 3: Cross multiply
    851.76x = 1,176.16 × 824.24
  4. Step 4: Simplify right side
    851.76x = 969,438.12
  5. Step 5: Solve for x
    x = 969,438.12/851.76
  6. Step 6: Final answer
    x = 1,138.16

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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.