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Finding the Fourth Proportional to 776.13, 1,071.08 and 426.84

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Solution

The fourth proportional to 776.13, 1,071.08 and 426.84 is: 589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.13 : 1,071.08 = 426.84 : x
  2. Step 2: Convert to fraction form
    776.13/1,071.08 = 426.84/x
  3. Step 3: Cross multiply
    776.13x = 1,071.08 × 426.84
  4. Step 4: Simplify right side
    776.13x = 457,179.79
  5. Step 5: Solve for x
    x = 457,179.79/776.13
  6. Step 6: Final answer
    x = 589.05

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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.