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Finding the Fourth Proportional to 1,326.87, 1,830.65 and 802.71

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Solution

The fourth proportional to 1,326.87, 1,830.65 and 802.71 is: 1,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.87 : 1,830.65 = 802.71 : x
  2. Step 2: Convert to fraction form
    1,326.87/1,830.65 = 802.71/x
  3. Step 3: Cross multiply
    1,326.87x = 1,830.65 × 802.71
  4. Step 4: Simplify right side
    1,326.87x = 1,469,477.05
  5. Step 5: Solve for x
    x = 1,469,477.05/1,326.87
  6. Step 6: Final answer
    x = 1,107.48

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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.