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Finding the Fourth Proportional to 901.08, 1,242.54 and 802.80

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Solution

The fourth proportional to 901.08, 1,242.54 and 802.80 is: 1,107.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.08 : 1,242.54 = 802.80 : x
  2. Step 2: Convert to fraction form
    901.08/1,242.54 = 802.80/x
  3. Step 3: Cross multiply
    901.08x = 1,242.54 × 802.80
  4. Step 4: Simplify right side
    901.08x = 997,511.11
  5. Step 5: Solve for x
    x = 997,511.11/901.08
  6. Step 6: Final answer
    x = 1,107.02

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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.