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Finding the Fourth Proportional to 867.06, 1,297.71 and 760.14

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Solution

The fourth proportional to 867.06, 1,297.71 and 760.14 is: 1,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.06 : 1,297.71 = 760.14 : x
  2. Step 2: Convert to fraction form
    867.06/1,297.71 = 760.14/x
  3. Step 3: Cross multiply
    867.06x = 1,297.71 × 760.14
  4. Step 4: Simplify right side
    867.06x = 986,441.28
  5. Step 5: Solve for x
    x = 986,441.28/867.06
  6. Step 6: Final answer
    x = 1,137.69

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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.