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Finding the Fourth Proportional to 962.19, 1,449.34 and 876.07

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Solution

The fourth proportional to 962.19, 1,449.34 and 876.07 is: 1,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.19 : 1,449.34 = 876.07 : x
  2. Step 2: Convert to fraction form
    962.19/1,449.34 = 876.07/x
  3. Step 3: Cross multiply
    962.19x = 1,449.34 × 876.07
  4. Step 4: Simplify right side
    962.19x = 1,269,723.29
  5. Step 5: Solve for x
    x = 1,269,723.29/962.19
  6. Step 6: Final answer
    x = 1,319.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.