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Finding the Fourth Proportional to 1,279.31, 1,922.63 and 630.50

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Solution

The fourth proportional to 1,279.31, 1,922.63 and 630.50 is: 947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.31 : 1,922.63 = 630.50 : x
  2. Step 2: Convert to fraction form
    1,279.31/1,922.63 = 630.50/x
  3. Step 3: Cross multiply
    1,279.31x = 1,922.63 × 630.50
  4. Step 4: Simplify right side
    1,279.31x = 1,212,205.45
  5. Step 5: Solve for x
    x = 1,212,205.45/1,279.31
  6. Step 6: Final answer
    x = 947.55

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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.