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Finding the Fourth Proportional to 701.52, 1,050.48 and 633.48

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Solution

The fourth proportional to 701.52, 1,050.48 and 633.48 is: 948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.52 : 1,050.48 = 633.48 : x
  2. Step 2: Convert to fraction form
    701.52/1,050.48 = 633.48/x
  3. Step 3: Cross multiply
    701.52x = 1,050.48 × 633.48
  4. Step 4: Simplify right side
    701.52x = 665,458.07
  5. Step 5: Solve for x
    x = 665,458.07/701.52
  6. Step 6: Final answer
    x = 948.59

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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.