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Finding the Fourth Proportional to 1,316.77, 1,974.51 and 769.09

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Solution

The fourth proportional to 1,316.77, 1,974.51 and 769.09 is: 1,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.77 : 1,974.51 = 769.09 : x
  2. Step 2: Convert to fraction form
    1,316.77/1,974.51 = 769.09/x
  3. Step 3: Cross multiply
    1,316.77x = 1,974.51 × 769.09
  4. Step 4: Simplify right side
    1,316.77x = 1,518,575.90
  5. Step 5: Solve for x
    x = 1,518,575.90/1,316.77
  6. Step 6: Final answer
    x = 1,153.26

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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.