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Finding the Fourth Proportional to 738.60, 1,019.10 and 627.88

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Solution

The fourth proportional to 738.60, 1,019.10 and 627.88 is: 866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.60 : 1,019.10 = 627.88 : x
  2. Step 2: Convert to fraction form
    738.60/1,019.10 = 627.88/x
  3. Step 3: Cross multiply
    738.60x = 1,019.10 × 627.88
  4. Step 4: Simplify right side
    738.60x = 639,872.51
  5. Step 5: Solve for x
    x = 639,872.51/738.60
  6. Step 6: Final answer
    x = 866.33

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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.