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Finding the Fourth Proportional to 1,447.16, 2,170.67 and 473.13

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Solution

The fourth proportional to 1,447.16, 2,170.67 and 473.13 is: 709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.16 : 2,170.67 = 473.13 : x
  2. Step 2: Convert to fraction form
    1,447.16/2,170.67 = 473.13/x
  3. Step 3: Cross multiply
    1,447.16x = 2,170.67 × 473.13
  4. Step 4: Simplify right side
    1,447.16x = 1,027,006.73
  5. Step 5: Solve for x
    x = 1,027,006.73/1,447.16
  6. Step 6: Final answer
    x = 709.67

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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.