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Finding the Fourth Proportional to 1,222.48, 1,685.16 and 1,035.28

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Solution

The fourth proportional to 1,222.48, 1,685.16 and 1,035.28 is: 1,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.48 : 1,685.16 = 1,035.28 : x
  2. Step 2: Convert to fraction form
    1,222.48/1,685.16 = 1,035.28/x
  3. Step 3: Cross multiply
    1,222.48x = 1,685.16 × 1,035.28
  4. Step 4: Simplify right side
    1,222.48x = 1,744,612.44
  5. Step 5: Solve for x
    x = 1,744,612.44/1,222.48
  6. Step 6: Final answer
    x = 1,427.11

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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.