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Finding the Fourth Proportional to 920.92, 1,271.46 and 572.08

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Solution

The fourth proportional to 920.92, 1,271.46 and 572.08 is: 789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.92 : 1,271.46 = 572.08 : x
  2. Step 2: Convert to fraction form
    920.92/1,271.46 = 572.08/x
  3. Step 3: Cross multiply
    920.92x = 1,271.46 × 572.08
  4. Step 4: Simplify right side
    920.92x = 727,376.84
  5. Step 5: Solve for x
    x = 727,376.84/920.92
  6. Step 6: Final answer
    x = 789.84

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