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Finding the Fourth Proportional to 869.50, 1,199.40 and 537.69

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Solution

The fourth proportional to 869.50, 1,199.40 and 537.69 is: 741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.50 : 1,199.40 = 537.69 : x
  2. Step 2: Convert to fraction form
    869.50/1,199.40 = 537.69/x
  3. Step 3: Cross multiply
    869.50x = 1,199.40 × 537.69
  4. Step 4: Simplify right side
    869.50x = 644,905.39
  5. Step 5: Solve for x
    x = 644,905.39/869.50
  6. Step 6: Final answer
    x = 741.70

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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.