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Finding the Fourth Proportional to 763.87, 1,146.55 and 544.74

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Solution

The fourth proportional to 763.87, 1,146.55 and 544.74 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.87 : 1,146.55 = 544.74 : x
  2. Step 2: Convert to fraction form
    763.87/1,146.55 = 544.74/x
  3. Step 3: Cross multiply
    763.87x = 1,146.55 × 544.74
  4. Step 4: Simplify right side
    763.87x = 624,571.65
  5. Step 5: Solve for x
    x = 624,571.65/763.87
  6. Step 6: Final answer
    x = 817.64

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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.