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Finding the Fourth Proportional to 1,599.68, 2,399.76 and 503.94

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Solution

The fourth proportional to 1,599.68, 2,399.76 and 503.94 is: 755.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.68 : 2,399.76 = 503.94 : x
  2. Step 2: Convert to fraction form
    1,599.68/2,399.76 = 503.94/x
  3. Step 3: Cross multiply
    1,599.68x = 2,399.76 × 503.94
  4. Step 4: Simplify right side
    1,599.68x = 1,209,335.05
  5. Step 5: Solve for x
    x = 1,209,335.05/1,599.68
  6. Step 6: Final answer
    x = 755.99

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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.