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Finding the Fourth Proportional to 880.72, 1,323.47 and 830.37

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Solution

The fourth proportional to 880.72, 1,323.47 and 830.37 is: 1,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.72 : 1,323.47 = 830.37 : x
  2. Step 2: Convert to fraction form
    880.72/1,323.47 = 830.37/x
  3. Step 3: Cross multiply
    880.72x = 1,323.47 × 830.37
  4. Step 4: Simplify right side
    880.72x = 1,098,976.82
  5. Step 5: Solve for x
    x = 1,098,976.82/880.72
  6. Step 6: Final answer
    x = 1,247.82

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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.