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Finding the Fourth Proportional to 979.08, 1,466.70 and 734.82

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Solution

The fourth proportional to 979.08, 1,466.70 and 734.82 is: 1,100.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.08 : 1,466.70 = 734.82 : x
  2. Step 2: Convert to fraction form
    979.08/1,466.70 = 734.82/x
  3. Step 3: Cross multiply
    979.08x = 1,466.70 × 734.82
  4. Step 4: Simplify right side
    979.08x = 1,077,760.49
  5. Step 5: Solve for x
    x = 1,077,760.49/979.08
  6. Step 6: Final answer
    x = 1,100.79

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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.