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Finding the Fourth Proportional to 1,599.39, 2,393.66 and 983.48

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Solution

The fourth proportional to 1,599.39, 2,393.66 and 983.48 is: 1,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.39 : 2,393.66 = 983.48 : x
  2. Step 2: Convert to fraction form
    1,599.39/2,393.66 = 983.48/x
  3. Step 3: Cross multiply
    1,599.39x = 2,393.66 × 983.48
  4. Step 4: Simplify right side
    1,599.39x = 2,354,125.18
  5. Step 5: Solve for x
    x = 2,354,125.18/1,599.39
  6. Step 6: Final answer
    x = 1,471.89

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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.