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Finding the Fourth Proportional to 869.77, 1,305.62 and 458.80

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Solution

The fourth proportional to 869.77, 1,305.62 and 458.80 is: 688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.77 : 1,305.62 = 458.80 : x
  2. Step 2: Convert to fraction form
    869.77/1,305.62 = 458.80/x
  3. Step 3: Cross multiply
    869.77x = 1,305.62 × 458.80
  4. Step 4: Simplify right side
    869.77x = 599,014.62
  5. Step 5: Solve for x
    x = 599,014.62/869.77
  6. Step 6: Final answer
    x = 688.70

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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.