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Finding the Fourth Proportional to 949.70, 1,421.85 and 949.70

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Solution

The fourth proportional to 949.70, 1,421.85 and 949.70 is: 1,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.70 : 1,421.85 = 949.70 : x
  2. Step 2: Convert to fraction form
    949.70/1,421.85 = 949.70/x
  3. Step 3: Cross multiply
    949.70x = 1,421.85 × 949.70
  4. Step 4: Simplify right side
    949.70x = 1,350,330.95
  5. Step 5: Solve for x
    x = 1,350,330.95/949.70
  6. Step 6: Final answer
    x = 1,421.85

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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.