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Finding the Fourth Proportional to 920.84, 1,380.57 and 555.55

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Solution

The fourth proportional to 920.84, 1,380.57 and 555.55 is: 832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.84 : 1,380.57 = 555.55 : x
  2. Step 2: Convert to fraction form
    920.84/1,380.57 = 555.55/x
  3. Step 3: Cross multiply
    920.84x = 1,380.57 × 555.55
  4. Step 4: Simplify right side
    920.84x = 766,975.66
  5. Step 5: Solve for x
    x = 766,975.66/920.84
  6. Step 6: Final answer
    x = 832.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.