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Finding the Fourth Proportional to 974.83, 1,455.30 and 940.66

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Solution

The fourth proportional to 974.83, 1,455.30 and 940.66 is: 1,404.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.83 : 1,455.30 = 940.66 : x
  2. Step 2: Convert to fraction form
    974.83/1,455.30 = 940.66/x
  3. Step 3: Cross multiply
    974.83x = 1,455.30 × 940.66
  4. Step 4: Simplify right side
    974.83x = 1,368,932.87
  5. Step 5: Solve for x
    x = 1,368,932.87/974.83
  6. Step 6: Final answer
    x = 1,404.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.