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Finding the Fourth Proportional to 869.04, 1,302.56 and 381.52

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Solution

The fourth proportional to 869.04, 1,302.56 and 381.52 is: 571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.04 : 1,302.56 = 381.52 : x
  2. Step 2: Convert to fraction form
    869.04/1,302.56 = 381.52/x
  3. Step 3: Cross multiply
    869.04x = 1,302.56 × 381.52
  4. Step 4: Simplify right side
    869.04x = 496,952.69
  5. Step 5: Solve for x
    x = 496,952.69/869.04
  6. Step 6: Final answer
    x = 571.84

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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.