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Finding the Fourth Proportional to 1,021.92, 1,533.14 and 474.48

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Solution

The fourth proportional to 1,021.92, 1,533.14 and 474.48 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.92 : 1,533.14 = 474.48 : x
  2. Step 2: Convert to fraction form
    1,021.92/1,533.14 = 474.48/x
  3. Step 3: Cross multiply
    1,021.92x = 1,533.14 × 474.48
  4. Step 4: Simplify right side
    1,021.92x = 727,444.27
  5. Step 5: Solve for x
    x = 727,444.27/1,021.92
  6. Step 6: Final answer
    x = 711.84

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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.