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Finding the Fourth Proportional to 1,599.78, 2,399.12 and 983.76

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Solution

The fourth proportional to 1,599.78, 2,399.12 and 983.76 is: 1,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.78 : 2,399.12 = 983.76 : x
  2. Step 2: Convert to fraction form
    1,599.78/2,399.12 = 983.76/x
  3. Step 3: Cross multiply
    1,599.78x = 2,399.12 × 983.76
  4. Step 4: Simplify right side
    1,599.78x = 2,360,158.29
  5. Step 5: Solve for x
    x = 2,360,158.29/1,599.78
  6. Step 6: Final answer
    x = 1,475.30

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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.