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Finding the Fourth Proportional to 1,391.54, 1,920.70 and 802.17

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Solution

The fourth proportional to 1,391.54, 1,920.70 and 802.17 is: 1,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.54 : 1,920.70 = 802.17 : x
  2. Step 2: Convert to fraction form
    1,391.54/1,920.70 = 802.17/x
  3. Step 3: Cross multiply
    1,391.54x = 1,920.70 × 802.17
  4. Step 4: Simplify right side
    1,391.54x = 1,540,727.92
  5. Step 5: Solve for x
    x = 1,540,727.92/1,391.54
  6. Step 6: Final answer
    x = 1,107.21

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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.