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Finding the Fourth Proportional to 1,008.20, 1,388.16 and 889.76

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Solution

The fourth proportional to 1,008.20, 1,388.16 and 889.76 is: 1,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.20 : 1,388.16 = 889.76 : x
  2. Step 2: Convert to fraction form
    1,008.20/1,388.16 = 889.76/x
  3. Step 3: Cross multiply
    1,008.20x = 1,388.16 × 889.76
  4. Step 4: Simplify right side
    1,008.20x = 1,235,129.24
  5. Step 5: Solve for x
    x = 1,235,129.24/1,008.20
  6. Step 6: Final answer
    x = 1,225.08

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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.