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Finding the Fourth Proportional to 1,069.59, 1,475.64 and 627.33

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Solution

The fourth proportional to 1,069.59, 1,475.64 and 627.33 is: 865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.59 : 1,475.64 = 627.33 : x
  2. Step 2: Convert to fraction form
    1,069.59/1,475.64 = 627.33/x
  3. Step 3: Cross multiply
    1,069.59x = 1,475.64 × 627.33
  4. Step 4: Simplify right side
    1,069.59x = 925,713.24
  5. Step 5: Solve for x
    x = 925,713.24/1,069.59
  6. Step 6: Final answer
    x = 865.48

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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.