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Finding the Fourth Proportional to 1,488.12, 2,230.14 and 666.18

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Solution

The fourth proportional to 1,488.12, 2,230.14 and 666.18 is: 998.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.12 : 2,230.14 = 666.18 : x
  2. Step 2: Convert to fraction form
    1,488.12/2,230.14 = 666.18/x
  3. Step 3: Cross multiply
    1,488.12x = 2,230.14 × 666.18
  4. Step 4: Simplify right side
    1,488.12x = 1,485,674.67
  5. Step 5: Solve for x
    x = 1,485,674.67/1,488.12
  6. Step 6: Final answer
    x = 998.36

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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.