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Finding the Fourth Proportional to 1,285.53, 1,928.34 and 736.53

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Solution

The fourth proportional to 1,285.53, 1,928.34 and 736.53 is: 1,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.53 : 1,928.34 = 736.53 : x
  2. Step 2: Convert to fraction form
    1,285.53/1,928.34 = 736.53/x
  3. Step 3: Cross multiply
    1,285.53x = 1,928.34 × 736.53
  4. Step 4: Simplify right side
    1,285.53x = 1,420,280.26
  5. Step 5: Solve for x
    x = 1,420,280.26/1,285.53
  6. Step 6: Final answer
    x = 1,104.82

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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.