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Finding the Fourth Proportional to 920.97, 1,271.03 and 584.82

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Solution

The fourth proportional to 920.97, 1,271.03 and 584.82 is: 807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.97 : 1,271.03 = 584.82 : x
  2. Step 2: Convert to fraction form
    920.97/1,271.03 = 584.82/x
  3. Step 3: Cross multiply
    920.97x = 1,271.03 × 584.82
  4. Step 4: Simplify right side
    920.97x = 743,320.84
  5. Step 5: Solve for x
    x = 743,320.84/920.97
  6. Step 6: Final answer
    x = 807.11

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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.