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Finding the Fourth Proportional to 1,224.55, 1,688.65 and 1,089.55

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Solution

The fourth proportional to 1,224.55, 1,688.65 and 1,089.55 is: 1,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.55 : 1,688.65 = 1,089.55 : x
  2. Step 2: Convert to fraction form
    1,224.55/1,688.65 = 1,089.55/x
  3. Step 3: Cross multiply
    1,224.55x = 1,688.65 × 1,089.55
  4. Step 4: Simplify right side
    1,224.55x = 1,839,867.99
  5. Step 5: Solve for x
    x = 1,839,867.99/1,224.55
  6. Step 6: Final answer
    x = 1,502.48

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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.