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Finding the Fourth Proportional to 763.81, 1,054.00 and 444.75

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Solution

The fourth proportional to 763.81, 1,054.00 and 444.75 is: 613.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.81 : 1,054.00 = 444.75 : x
  2. Step 2: Convert to fraction form
    763.81/1,054.00 = 444.75/x
  3. Step 3: Cross multiply
    763.81x = 1,054.00 × 444.75
  4. Step 4: Simplify right side
    763.81x = 468,759.01
  5. Step 5: Solve for x
    x = 468,759.01/763.81
  6. Step 6: Final answer
    x = 613.72

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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.