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Finding the Fourth Proportional to 902.58, 1,244.64 and 802.68

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Solution

The fourth proportional to 902.58, 1,244.64 and 802.68 is: 1,106.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.58 : 1,244.64 = 802.68 : x
  2. Step 2: Convert to fraction form
    902.58/1,244.64 = 802.68/x
  3. Step 3: Cross multiply
    902.58x = 1,244.64 × 802.68
  4. Step 4: Simplify right side
    902.58x = 999,047.64
  5. Step 5: Solve for x
    x = 999,047.64/902.58
  6. Step 6: Final answer
    x = 1,106.88

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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.