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Finding the Fourth Proportional to 989.48, 1,483.77 and 578.75

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Solution

The fourth proportional to 989.48, 1,483.77 and 578.75 is: 867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.48 : 1,483.77 = 578.75 : x
  2. Step 2: Convert to fraction form
    989.48/1,483.77 = 578.75/x
  3. Step 3: Cross multiply
    989.48x = 1,483.77 × 578.75
  4. Step 4: Simplify right side
    989.48x = 858,723.38
  5. Step 5: Solve for x
    x = 858,723.38/989.48
  6. Step 6: Final answer
    x = 867.85

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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.