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Finding the Fourth Proportional to 983.14, 1,472.88 and 830.02

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Solution

The fourth proportional to 983.14, 1,472.88 and 830.02 is: 1,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.14 : 1,472.88 = 830.02 : x
  2. Step 2: Convert to fraction form
    983.14/1,472.88 = 830.02/x
  3. Step 3: Cross multiply
    983.14x = 1,472.88 × 830.02
  4. Step 4: Simplify right side
    983.14x = 1,222,519.86
  5. Step 5: Solve for x
    x = 1,222,519.86/983.14
  6. Step 6: Final answer
    x = 1,243.49

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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.