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Finding the Fourth Proportional to 1,473.27, 2,210.01 and 499.05

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Solution

The fourth proportional to 1,473.27, 2,210.01 and 499.05 is: 748.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.27 : 2,210.01 = 499.05 : x
  2. Step 2: Convert to fraction form
    1,473.27/2,210.01 = 499.05/x
  3. Step 3: Cross multiply
    1,473.27x = 2,210.01 × 499.05
  4. Step 4: Simplify right side
    1,473.27x = 1,102,905.49
  5. Step 5: Solve for x
    x = 1,102,905.49/1,473.27
  6. Step 6: Final answer
    x = 748.61

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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.