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Finding the Fourth Proportional to 1,281.79, 1,923.29 and 551.57

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Solution

The fourth proportional to 1,281.79, 1,923.29 and 551.57 is: 827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.79 : 1,923.29 = 551.57 : x
  2. Step 2: Convert to fraction form
    1,281.79/1,923.29 = 551.57/x
  3. Step 3: Cross multiply
    1,281.79x = 1,923.29 × 551.57
  4. Step 4: Simplify right side
    1,281.79x = 1,060,826.31
  5. Step 5: Solve for x
    x = 1,060,826.31/1,281.79
  6. Step 6: Final answer
    x = 827.62

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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.