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Finding the Fourth Proportional to 1,228.50, 1,690.20 and 1,062.18

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Solution

The fourth proportional to 1,228.50, 1,690.20 and 1,062.18 is: 1,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.50 : 1,690.20 = 1,062.18 : x
  2. Step 2: Convert to fraction form
    1,228.50/1,690.20 = 1,062.18/x
  3. Step 3: Cross multiply
    1,228.50x = 1,690.20 × 1,062.18
  4. Step 4: Simplify right side
    1,228.50x = 1,795,296.64
  5. Step 5: Solve for x
    x = 1,795,296.64/1,228.50
  6. Step 6: Final answer
    x = 1,461.37

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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.