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Finding the Fourth Proportional to 1,069.41, 1,475.78 and 627.63

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Solution

The fourth proportional to 1,069.41, 1,475.78 and 627.63 is: 866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.41 : 1,475.78 = 627.63 : x
  2. Step 2: Convert to fraction form
    1,069.41/1,475.78 = 627.63/x
  3. Step 3: Cross multiply
    1,069.41x = 1,475.78 × 627.63
  4. Step 4: Simplify right side
    1,069.41x = 926,240.66
  5. Step 5: Solve for x
    x = 926,240.66/1,069.41
  6. Step 6: Final answer
    x = 866.12

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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.