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Finding the Fourth Proportional to 1,132.65, 1,697.83 and 767.48

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Solution

The fourth proportional to 1,132.65, 1,697.83 and 767.48 is: 1,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.65 : 1,697.83 = 767.48 : x
  2. Step 2: Convert to fraction form
    1,132.65/1,697.83 = 767.48/x
  3. Step 3: Cross multiply
    1,132.65x = 1,697.83 × 767.48
  4. Step 4: Simplify right side
    1,132.65x = 1,303,040.16
  5. Step 5: Solve for x
    x = 1,303,040.16/1,132.65
  6. Step 6: Final answer
    x = 1,150.43

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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.