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Finding the Fourth Proportional to 869.03, 1,199.19 and 537.33

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Solution

The fourth proportional to 869.03, 1,199.19 and 537.33 is: 741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.03 : 1,199.19 = 537.33 : x
  2. Step 2: Convert to fraction form
    869.03/1,199.19 = 537.33/x
  3. Step 3: Cross multiply
    869.03x = 1,199.19 × 537.33
  4. Step 4: Simplify right side
    869.03x = 644,360.76
  5. Step 5: Solve for x
    x = 644,360.76/869.03
  6. Step 6: Final answer
    x = 741.48

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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.