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Finding the Fourth Proportional to 880.72, 1,313.63 and 829.96

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Solution

The fourth proportional to 880.72, 1,313.63 and 829.96 is: 1,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.72 : 1,313.63 = 829.96 : x
  2. Step 2: Convert to fraction form
    880.72/1,313.63 = 829.96/x
  3. Step 3: Cross multiply
    880.72x = 1,313.63 × 829.96
  4. Step 4: Simplify right side
    880.72x = 1,090,260.35
  5. Step 5: Solve for x
    x = 1,090,260.35/880.72
  6. Step 6: Final answer
    x = 1,237.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.