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Finding the Fourth Proportional to 1,523.37, 2,286.00 and 598.77

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Solution

The fourth proportional to 1,523.37, 2,286.00 and 598.77 is: 898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.37 : 2,286.00 = 598.77 : x
  2. Step 2: Convert to fraction form
    1,523.37/2,286.00 = 598.77/x
  3. Step 3: Cross multiply
    1,523.37x = 2,286.00 × 598.77
  4. Step 4: Simplify right side
    1,523.37x = 1,368,773.80
  5. Step 5: Solve for x
    x = 1,368,773.80/1,523.37
  6. Step 6: Final answer
    x = 898.52

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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.