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Finding the Fourth Proportional to 1,227.41, 1,693.72 and 730.17

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Solution

The fourth proportional to 1,227.41, 1,693.72 and 730.17 is: 1,007.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.41 : 1,693.72 = 730.17 : x
  2. Step 2: Convert to fraction form
    1,227.41/1,693.72 = 730.17/x
  3. Step 3: Cross multiply
    1,227.41x = 1,693.72 × 730.17
  4. Step 4: Simplify right side
    1,227.41x = 1,236,703.53
  5. Step 5: Solve for x
    x = 1,236,703.53/1,227.41
  6. Step 6: Final answer
    x = 1,007.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.