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Finding the Fourth Proportional to 983.10, 1,472.83 and 657.89

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Solution

The fourth proportional to 983.10, 1,472.83 and 657.89 is: 985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.10 : 1,472.83 = 657.89 : x
  2. Step 2: Convert to fraction form
    983.10/1,472.83 = 657.89/x
  3. Step 3: Cross multiply
    983.10x = 1,472.83 × 657.89
  4. Step 4: Simplify right side
    983.10x = 968,951.12
  5. Step 5: Solve for x
    x = 968,951.12/983.10
  6. Step 6: Final answer
    x = 985.61

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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.