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Finding the Fourth Proportional to 1,391.69, 1,920.51 and 802.23

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Solution

The fourth proportional to 1,391.69, 1,920.51 and 802.23 is: 1,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.69 : 1,920.51 = 802.23 : x
  2. Step 2: Convert to fraction form
    1,391.69/1,920.51 = 802.23/x
  3. Step 3: Cross multiply
    1,391.69x = 1,920.51 × 802.23
  4. Step 4: Simplify right side
    1,391.69x = 1,540,690.74
  5. Step 5: Solve for x
    x = 1,540,690.74/1,391.69
  6. Step 6: Final answer
    x = 1,107.07

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