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Finding the Fourth Proportional to 1,230.71, 1,698.24 and 733.28

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Solution

The fourth proportional to 1,230.71, 1,698.24 and 733.28 is: 1,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.71 : 1,698.24 = 733.28 : x
  2. Step 2: Convert to fraction form
    1,230.71/1,698.24 = 733.28/x
  3. Step 3: Cross multiply
    1,230.71x = 1,698.24 × 733.28
  4. Step 4: Simplify right side
    1,230.71x = 1,245,285.43
  5. Step 5: Solve for x
    x = 1,245,285.43/1,230.71
  6. Step 6: Final answer
    x = 1,011.84

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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.