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Finding the Fourth Proportional to 1,516.13, 2,269.97 and 774.14

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Solution

The fourth proportional to 1,516.13, 2,269.97 and 774.14 is: 1,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.13 : 2,269.97 = 774.14 : x
  2. Step 2: Convert to fraction form
    1,516.13/2,269.97 = 774.14/x
  3. Step 3: Cross multiply
    1,516.13x = 2,269.97 × 774.14
  4. Step 4: Simplify right side
    1,516.13x = 1,757,270.71
  5. Step 5: Solve for x
    x = 1,757,270.71/1,516.13
  6. Step 6: Final answer
    x = 1,159.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.