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Finding the Fourth Proportional to 981.24, 1,354.08 and 802.62

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Solution

The fourth proportional to 981.24, 1,354.08 and 802.62 is: 1,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.24 : 1,354.08 = 802.62 : x
  2. Step 2: Convert to fraction form
    981.24/1,354.08 = 802.62/x
  3. Step 3: Cross multiply
    981.24x = 1,354.08 × 802.62
  4. Step 4: Simplify right side
    981.24x = 1,086,811.69
  5. Step 5: Solve for x
    x = 1,086,811.69/981.24
  6. Step 6: Final answer
    x = 1,107.59

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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.