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Finding the Fourth Proportional to 1,224.81, 1,698.21 and 1,159.20

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Solution

The fourth proportional to 1,224.81, 1,698.21 and 1,159.20 is: 1,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.81 : 1,698.21 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    1,224.81/1,698.21 = 1,159.20/x
  3. Step 3: Cross multiply
    1,224.81x = 1,698.21 × 1,159.20
  4. Step 4: Simplify right side
    1,224.81x = 1,968,565.03
  5. Step 5: Solve for x
    x = 1,968,565.03/1,224.81
  6. Step 6: Final answer
    x = 1,607.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.