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Finding the Fourth Proportional to 1,598.92, 2,399.90 and 983.84

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Solution

The fourth proportional to 1,598.92, 2,399.90 and 983.84 is: 1,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.92 : 2,399.90 = 983.84 : x
  2. Step 2: Convert to fraction form
    1,598.92/2,399.90 = 983.84/x
  3. Step 3: Cross multiply
    1,598.92x = 2,399.90 × 983.84
  4. Step 4: Simplify right side
    1,598.92x = 2,361,117.62
  5. Step 5: Solve for x
    x = 2,361,117.62/1,598.92
  6. Step 6: Final answer
    x = 1,476.70

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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.