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Finding the Fourth Proportional to 1,214.80, 1,663.49 and 1,214.80

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Solution

The fourth proportional to 1,214.80, 1,663.49 and 1,214.80 is: 1,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.80 : 1,663.49 = 1,214.80 : x
  2. Step 2: Convert to fraction form
    1,214.80/1,663.49 = 1,214.80/x
  3. Step 3: Cross multiply
    1,214.80x = 1,663.49 × 1,214.80
  4. Step 4: Simplify right side
    1,214.80x = 2,020,807.65
  5. Step 5: Solve for x
    x = 2,020,807.65/1,214.80
  6. Step 6: Final answer
    x = 1,663.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.