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Finding the Fourth Proportional to 869.65, 1,304.84 and 459.15

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Solution

The fourth proportional to 869.65, 1,304.84 and 459.15 is: 688.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.65 : 1,304.84 = 459.15 : x
  2. Step 2: Convert to fraction form
    869.65/1,304.84 = 459.15/x
  3. Step 3: Cross multiply
    869.65x = 1,304.84 × 459.15
  4. Step 4: Simplify right side
    869.65x = 599,117.29
  5. Step 5: Solve for x
    x = 599,117.29/869.65
  6. Step 6: Final answer
    x = 688.92

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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.