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Finding the Fourth Proportional to 1,072.31, 1,479.78 and 630.46

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Solution

The fourth proportional to 1,072.31, 1,479.78 and 630.46 is: 870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.31 : 1,479.78 = 630.46 : x
  2. Step 2: Convert to fraction form
    1,072.31/1,479.78 = 630.46/x
  3. Step 3: Cross multiply
    1,072.31x = 1,479.78 × 630.46
  4. Step 4: Simplify right side
    1,072.31x = 932,946.59
  5. Step 5: Solve for x
    x = 932,946.59/1,072.31
  6. Step 6: Final answer
    x = 870.04

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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.