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Finding the Fourth Proportional to 1,069.77, 1,476.51 and 627.78

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Solution

The fourth proportional to 1,069.77, 1,476.51 and 627.78 is: 866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.77 : 1,476.51 = 627.78 : x
  2. Step 2: Convert to fraction form
    1,069.77/1,476.51 = 627.78/x
  3. Step 3: Cross multiply
    1,069.77x = 1,476.51 × 627.78
  4. Step 4: Simplify right side
    1,069.77x = 926,923.45
  5. Step 5: Solve for x
    x = 926,923.45/1,069.77
  6. Step 6: Final answer
    x = 866.47

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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.