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Finding the Fourth Proportional to 1,022.92, 1,533.26 and 502.32

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Solution

The fourth proportional to 1,022.92, 1,533.26 and 502.32 is: 752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.92 : 1,533.26 = 502.32 : x
  2. Step 2: Convert to fraction form
    1,022.92/1,533.26 = 502.32/x
  3. Step 3: Cross multiply
    1,022.92x = 1,533.26 × 502.32
  4. Step 4: Simplify right side
    1,022.92x = 770,187.16
  5. Step 5: Solve for x
    x = 770,187.16/1,022.92
  6. Step 6: Final answer
    x = 752.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.