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Finding the Fourth Proportional to 1,391.72, 1,920.68 and 802.24

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Solution

The fourth proportional to 1,391.72, 1,920.68 and 802.24 is: 1,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.72 : 1,920.68 = 802.24 : x
  2. Step 2: Convert to fraction form
    1,391.72/1,920.68 = 802.24/x
  3. Step 3: Cross multiply
    1,391.72x = 1,920.68 × 802.24
  4. Step 4: Simplify right side
    1,391.72x = 1,540,846.32
  5. Step 5: Solve for x
    x = 1,540,846.32/1,391.72
  6. Step 6: Final answer
    x = 1,107.15

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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.