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Finding the Fourth Proportional to 1,087.46, 1,627.12 and 647.10

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Solution

The fourth proportional to 1,087.46, 1,627.12 and 647.10 is: 968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.46 : 1,627.12 = 647.10 : x
  2. Step 2: Convert to fraction form
    1,087.46/1,627.12 = 647.10/x
  3. Step 3: Cross multiply
    1,087.46x = 1,627.12 × 647.10
  4. Step 4: Simplify right side
    1,087.46x = 1,052,907.73
  5. Step 5: Solve for x
    x = 1,052,907.73/1,087.46
  6. Step 6: Final answer
    x = 968.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.