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Finding the Fourth Proportional to 1,208.64, 1,663.71 and 1,053.12

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Solution

The fourth proportional to 1,208.64, 1,663.71 and 1,053.12 is: 1,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.64 : 1,663.71 = 1,053.12 : x
  2. Step 2: Convert to fraction form
    1,208.64/1,663.71 = 1,053.12/x
  3. Step 3: Cross multiply
    1,208.64x = 1,663.71 × 1,053.12
  4. Step 4: Simplify right side
    1,208.64x = 1,752,086.28
  5. Step 5: Solve for x
    x = 1,752,086.28/1,208.64
  6. Step 6: Final answer
    x = 1,449.63

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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.