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Finding the Fourth Proportional to 1,228.91, 1,838.70 and 733.46

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Solution

The fourth proportional to 1,228.91, 1,838.70 and 733.46 is: 1,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.91 : 1,838.70 = 733.46 : x
  2. Step 2: Convert to fraction form
    1,228.91/1,838.70 = 733.46/x
  3. Step 3: Cross multiply
    1,228.91x = 1,838.70 × 733.46
  4. Step 4: Simplify right side
    1,228.91x = 1,348,603.71
  5. Step 5: Solve for x
    x = 1,348,603.71/1,228.91
  6. Step 6: Final answer
    x = 1,097.40

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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.