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Finding the Fourth Proportional to 659.75, 989.22 and 578.75

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Solution

The fourth proportional to 659.75, 989.22 and 578.75 is: 867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.75 : 989.22 = 578.75 : x
  2. Step 2: Convert to fraction form
    659.75/989.22 = 578.75/x
  3. Step 3: Cross multiply
    659.75x = 989.22 × 578.75
  4. Step 4: Simplify right side
    659.75x = 572,511.08
  5. Step 5: Solve for x
    x = 572,511.08/659.75
  6. Step 6: Final answer
    x = 867.77

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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.