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Finding the Fourth Proportional to 833.39, 1,149.69 and 538.75

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Solution

The fourth proportional to 833.39, 1,149.69 and 538.75 is: 743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.39 : 1,149.69 = 538.75 : x
  2. Step 2: Convert to fraction form
    833.39/1,149.69 = 538.75/x
  3. Step 3: Cross multiply
    833.39x = 1,149.69 × 538.75
  4. Step 4: Simplify right side
    833.39x = 619,398.94
  5. Step 5: Solve for x
    x = 619,398.94/833.39
  6. Step 6: Final answer
    x = 743.23

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1.5x scale

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.