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Finding the Fourth Proportional to 1,210.72, 1,814.16 and 559.84

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Solution

The fourth proportional to 1,210.72, 1,814.16 and 559.84 is: 838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.72 : 1,814.16 = 559.84 : x
  2. Step 2: Convert to fraction form
    1,210.72/1,814.16 = 559.84/x
  3. Step 3: Cross multiply
    1,210.72x = 1,814.16 × 559.84
  4. Step 4: Simplify right side
    1,210.72x = 1,015,639.33
  5. Step 5: Solve for x
    x = 1,015,639.33/1,210.72
  6. Step 6: Final answer
    x = 838.87

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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.