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Finding the Fourth Proportional to 1,484.68, 2,226.72 and 560.22

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Solution

The fourth proportional to 1,484.68, 2,226.72 and 560.22 is: 840.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.68 : 2,226.72 = 560.22 : x
  2. Step 2: Convert to fraction form
    1,484.68/2,226.72 = 560.22/x
  3. Step 3: Cross multiply
    1,484.68x = 2,226.72 × 560.22
  4. Step 4: Simplify right side
    1,484.68x = 1,247,453.08
  5. Step 5: Solve for x
    x = 1,247,453.08/1,484.68
  6. Step 6: Final answer
    x = 840.22

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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.