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Finding the Fourth Proportional to 1,599.45, 2,399.67 and 503.83

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Solution

The fourth proportional to 1,599.45, 2,399.67 and 503.83 is: 755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.45 : 2,399.67 = 503.83 : x
  2. Step 2: Convert to fraction form
    1,599.45/2,399.67 = 503.83/x
  3. Step 3: Cross multiply
    1,599.45x = 2,399.67 × 503.83
  4. Step 4: Simplify right side
    1,599.45x = 1,209,019.74
  5. Step 5: Solve for x
    x = 1,209,019.74/1,599.45
  6. Step 6: Final answer
    x = 755.90

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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.