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Finding the Fourth Proportional to 1,069.17, 1,475.49 and 627.09

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Solution

The fourth proportional to 1,069.17, 1,475.49 and 627.09 is: 865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.17 : 1,475.49 = 627.09 : x
  2. Step 2: Convert to fraction form
    1,069.17/1,475.49 = 627.09/x
  3. Step 3: Cross multiply
    1,069.17x = 1,475.49 × 627.09
  4. Step 4: Simplify right side
    1,069.17x = 925,265.02
  5. Step 5: Solve for x
    x = 925,265.02/1,069.17
  6. Step 6: Final answer
    x = 865.40

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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.