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Finding the Fourth Proportional to 776.65, 1,164.98 and 344.11

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Solution

The fourth proportional to 776.65, 1,164.98 and 344.11 is: 516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.65 : 1,164.98 = 344.11 : x
  2. Step 2: Convert to fraction form
    776.65/1,164.98 = 344.11/x
  3. Step 3: Cross multiply
    776.65x = 1,164.98 × 344.11
  4. Step 4: Simplify right side
    776.65x = 400,876.63
  5. Step 5: Solve for x
    x = 400,876.63/776.65
  6. Step 6: Final answer
    x = 516.16

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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.