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Finding the Fourth Proportional to 742.63, 1,113.98 and 633.70

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Solution

The fourth proportional to 742.63, 1,113.98 and 633.70 is: 950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.63 : 1,113.98 = 633.70 : x
  2. Step 2: Convert to fraction form
    742.63/1,113.98 = 633.70/x
  3. Step 3: Cross multiply
    742.63x = 1,113.98 × 633.70
  4. Step 4: Simplify right side
    742.63x = 705,923.17
  5. Step 5: Solve for x
    x = 705,923.17/742.63
  6. Step 6: Final answer
    x = 950.58

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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.