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Finding the Fourth Proportional to 1,147.66, 1,584.48 and 774.70

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Solution

The fourth proportional to 1,147.66, 1,584.48 and 774.70 is: 1,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.66 : 1,584.48 = 774.70 : x
  2. Step 2: Convert to fraction form
    1,147.66/1,584.48 = 774.70/x
  3. Step 3: Cross multiply
    1,147.66x = 1,584.48 × 774.70
  4. Step 4: Simplify right side
    1,147.66x = 1,227,496.66
  5. Step 5: Solve for x
    x = 1,227,496.66/1,147.66
  6. Step 6: Final answer
    x = 1,069.56

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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.