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Finding the Fourth Proportional to 1,525.59, 2,287.49 and 600.08

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Solution

The fourth proportional to 1,525.59, 2,287.49 and 600.08 is: 899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.59 : 2,287.49 = 600.08 : x
  2. Step 2: Convert to fraction form
    1,525.59/2,287.49 = 600.08/x
  3. Step 3: Cross multiply
    1,525.59x = 2,287.49 × 600.08
  4. Step 4: Simplify right side
    1,525.59x = 1,372,662.56
  5. Step 5: Solve for x
    x = 1,372,662.56/1,525.59
  6. Step 6: Final answer
    x = 899.76

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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.