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Finding the Fourth Proportional to 1,087.06, 1,628.16 and 599.80

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Solution

The fourth proportional to 1,087.06, 1,628.16 and 599.80 is: 898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.06 : 1,628.16 = 599.80 : x
  2. Step 2: Convert to fraction form
    1,087.06/1,628.16 = 599.80/x
  3. Step 3: Cross multiply
    1,087.06x = 1,628.16 × 599.80
  4. Step 4: Simplify right side
    1,087.06x = 976,570.37
  5. Step 5: Solve for x
    x = 976,570.37/1,087.06
  6. Step 6: Final answer
    x = 898.36

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Why These Related Problems?

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