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Finding the Fourth Proportional to 857.32, 1,283.58 and 648.43

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Solution

The fourth proportional to 857.32, 1,283.58 and 648.43 is: 970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.32 : 1,283.58 = 648.43 : x
  2. Step 2: Convert to fraction form
    857.32/1,283.58 = 648.43/x
  3. Step 3: Cross multiply
    857.32x = 1,283.58 × 648.43
  4. Step 4: Simplify right side
    857.32x = 832,308.57
  5. Step 5: Solve for x
    x = 832,308.57/857.32
  6. Step 6: Final answer
    x = 970.83

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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.