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Finding the Fourth Proportional to 1,391.60, 1,920.38 and 802.12

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Solution

The fourth proportional to 1,391.60, 1,920.38 and 802.12 is: 1,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.60 : 1,920.38 = 802.12 : x
  2. Step 2: Convert to fraction form
    1,391.60/1,920.38 = 802.12/x
  3. Step 3: Cross multiply
    1,391.60x = 1,920.38 × 802.12
  4. Step 4: Simplify right side
    1,391.60x = 1,540,375.21
  5. Step 5: Solve for x
    x = 1,540,375.21/1,391.60
  6. Step 6: Final answer
    x = 1,106.91

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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.