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Finding the Fourth Proportional to 1,523.70, 2,285.55 and 968.85

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Solution

The fourth proportional to 1,523.70, 2,285.55 and 968.85 is: 1,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.70 : 2,285.55 = 968.85 : x
  2. Step 2: Convert to fraction form
    1,523.70/2,285.55 = 968.85/x
  3. Step 3: Cross multiply
    1,523.70x = 2,285.55 × 968.85
  4. Step 4: Simplify right side
    1,523.70x = 2,214,355.12
  5. Step 5: Solve for x
    x = 2,214,355.12/1,523.70
  6. Step 6: Final answer
    x = 1,453.28

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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.