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Finding the Fourth Proportional to 868.81, 1,303.03 and 252.55

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Solution

The fourth proportional to 868.81, 1,303.03 and 252.55 is: 378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.81 : 1,303.03 = 252.55 : x
  2. Step 2: Convert to fraction form
    868.81/1,303.03 = 252.55/x
  3. Step 3: Cross multiply
    868.81x = 1,303.03 × 252.55
  4. Step 4: Simplify right side
    868.81x = 329,080.23
  5. Step 5: Solve for x
    x = 329,080.23/868.81
  6. Step 6: Final answer
    x = 378.77

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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.