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Finding the Fourth Proportional to 802.22, 1,106.87 and 654.62

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Solution

The fourth proportional to 802.22, 1,106.87 and 654.62 is: 903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.22 : 1,106.87 = 654.62 : x
  2. Step 2: Convert to fraction form
    802.22/1,106.87 = 654.62/x
  3. Step 3: Cross multiply
    802.22x = 1,106.87 × 654.62
  4. Step 4: Simplify right side
    802.22x = 724,570.43
  5. Step 5: Solve for x
    x = 724,570.43/802.22
  6. Step 6: Final answer
    x = 903.21

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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.