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Finding the Fourth Proportional to 1,087.16, 1,627.95 and 599.67

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Solution

The fourth proportional to 1,087.16, 1,627.95 and 599.67 is: 897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.16 : 1,627.95 = 599.67 : x
  2. Step 2: Convert to fraction form
    1,087.16/1,627.95 = 599.67/x
  3. Step 3: Cross multiply
    1,087.16x = 1,627.95 × 599.67
  4. Step 4: Simplify right side
    1,087.16x = 976,232.78
  5. Step 5: Solve for x
    x = 976,232.78/1,087.16
  6. Step 6: Final answer
    x = 897.97

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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.