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Finding the Fourth Proportional to 1,135.47, 1,694.92 and 974.19

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Solution

The fourth proportional to 1,135.47, 1,694.92 and 974.19 is: 1,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.47 : 1,694.92 = 974.19 : x
  2. Step 2: Convert to fraction form
    1,135.47/1,694.92 = 974.19/x
  3. Step 3: Cross multiply
    1,135.47x = 1,694.92 × 974.19
  4. Step 4: Simplify right side
    1,135.47x = 1,651,171.68
  5. Step 5: Solve for x
    x = 1,651,171.68/1,135.47
  6. Step 6: Final answer
    x = 1,454.17

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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.