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Finding the Fourth Proportional to 920.96, 1,271.16 and 571.44

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Solution

The fourth proportional to 920.96, 1,271.16 and 571.44 is: 788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.96 : 1,271.16 = 571.44 : x
  2. Step 2: Convert to fraction form
    920.96/1,271.16 = 571.44/x
  3. Step 3: Cross multiply
    920.96x = 1,271.16 × 571.44
  4. Step 4: Simplify right side
    920.96x = 726,391.67
  5. Step 5: Solve for x
    x = 726,391.67/920.96
  6. Step 6: Final answer
    x = 788.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.