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Finding the Fourth Proportional to 880.28, 1,322.34 and 538.52

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Solution

The fourth proportional to 880.28, 1,322.34 and 538.52 is: 808.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.28 : 1,322.34 = 538.52 : x
  2. Step 2: Convert to fraction form
    880.28/1,322.34 = 538.52/x
  3. Step 3: Cross multiply
    880.28x = 1,322.34 × 538.52
  4. Step 4: Simplify right side
    880.28x = 712,106.54
  5. Step 5: Solve for x
    x = 712,106.54/880.28
  6. Step 6: Final answer
    x = 808.95

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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.