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Finding the Fourth Proportional to 1,021.96, 1,533.12 and 474.76

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Solution

The fourth proportional to 1,021.96, 1,533.12 and 474.76 is: 712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.96 : 1,533.12 = 474.76 : x
  2. Step 2: Convert to fraction form
    1,021.96/1,533.12 = 474.76/x
  3. Step 3: Cross multiply
    1,021.96x = 1,533.12 × 474.76
  4. Step 4: Simplify right side
    1,021.96x = 727,864.05
  5. Step 5: Solve for x
    x = 727,864.05/1,021.96
  6. Step 6: Final answer
    x = 712.22

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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.