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Finding the Fourth Proportional to 833.96, 1,150.67 and 502.27

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Solution

The fourth proportional to 833.96, 1,150.67 and 502.27 is: 693.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.96 : 1,150.67 = 502.27 : x
  2. Step 2: Convert to fraction form
    833.96/1,150.67 = 502.27/x
  3. Step 3: Cross multiply
    833.96x = 1,150.67 × 502.27
  4. Step 4: Simplify right side
    833.96x = 577,945.40
  5. Step 5: Solve for x
    x = 577,945.40/833.96
  6. Step 6: Final answer
    x = 693.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.