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Finding the Fourth Proportional to 1,065.24, 1,469.62 and 786.14

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Solution

The fourth proportional to 1,065.24, 1,469.62 and 786.14 is: 1,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.24 : 1,469.62 = 786.14 : x
  2. Step 2: Convert to fraction form
    1,065.24/1,469.62 = 786.14/x
  3. Step 3: Cross multiply
    1,065.24x = 1,469.62 × 786.14
  4. Step 4: Simplify right side
    1,065.24x = 1,155,326.21
  5. Step 5: Solve for x
    x = 1,155,326.21/1,065.24
  6. Step 6: Final answer
    x = 1,084.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.