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Finding the Fourth Proportional to 1,111.12, 1,663.64 and 802.20

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Solution

The fourth proportional to 1,111.12, 1,663.64 and 802.20 is: 1,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.12 : 1,663.64 = 802.20 : x
  2. Step 2: Convert to fraction form
    1,111.12/1,663.64 = 802.20/x
  3. Step 3: Cross multiply
    1,111.12x = 1,663.64 × 802.20
  4. Step 4: Simplify right side
    1,111.12x = 1,334,577.24
  5. Step 5: Solve for x
    x = 1,334,577.24/1,111.12
  6. Step 6: Final answer
    x = 1,201.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.