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Finding the Fourth Proportional to 869.71, 1,304.37 and 521.95

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Solution

The fourth proportional to 869.71, 1,304.37 and 521.95 is: 782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.71 : 1,304.37 = 521.95 : x
  2. Step 2: Convert to fraction form
    869.71/1,304.37 = 521.95/x
  3. Step 3: Cross multiply
    869.71x = 1,304.37 × 521.95
  4. Step 4: Simplify right side
    869.71x = 680,815.92
  5. Step 5: Solve for x
    x = 680,815.92/869.71
  6. Step 6: Final answer
    x = 782.81

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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.