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Finding the Fourth Proportional to 979.32, 1,467.54 and 876.60

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Solution

The fourth proportional to 979.32, 1,467.54 and 876.60 is: 1,313.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.32 : 1,467.54 = 876.60 : x
  2. Step 2: Convert to fraction form
    979.32/1,467.54 = 876.60/x
  3. Step 3: Cross multiply
    979.32x = 1,467.54 × 876.60
  4. Step 4: Simplify right side
    979.32x = 1,286,445.56
  5. Step 5: Solve for x
    x = 1,286,445.56/979.32
  6. Step 6: Final answer
    x = 1,313.61

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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.