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Finding the Fourth Proportional to 1,474.08, 2,211.48 and 500.22

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Solution

The fourth proportional to 1,474.08, 2,211.48 and 500.22 is: 750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.08 : 2,211.48 = 500.22 : x
  2. Step 2: Convert to fraction form
    1,474.08/2,211.48 = 500.22/x
  3. Step 3: Cross multiply
    1,474.08x = 2,211.48 × 500.22
  4. Step 4: Simplify right side
    1,474.08x = 1,106,226.53
  5. Step 5: Solve for x
    x = 1,106,226.53/1,474.08
  6. Step 6: Final answer
    x = 750.45

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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.