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Finding the Fourth Proportional to 1,523.33, 2,286.30 and 599.54

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Solution

The fourth proportional to 1,523.33, 2,286.30 and 599.54 is: 899.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.33 : 2,286.30 = 599.54 : x
  2. Step 2: Convert to fraction form
    1,523.33/2,286.30 = 599.54/x
  3. Step 3: Cross multiply
    1,523.33x = 2,286.30 × 599.54
  4. Step 4: Simplify right side
    1,523.33x = 1,370,728.30
  5. Step 5: Solve for x
    x = 1,370,728.30/1,523.33
  6. Step 6: Final answer
    x = 899.82

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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.