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Finding the Fourth Proportional to 833.24, 1,150.34 and 501.75

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Solution

The fourth proportional to 833.24, 1,150.34 and 501.75 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.24 : 1,150.34 = 501.75 : x
  2. Step 2: Convert to fraction form
    833.24/1,150.34 = 501.75/x
  3. Step 3: Cross multiply
    833.24x = 1,150.34 × 501.75
  4. Step 4: Simplify right side
    833.24x = 577,180.59
  5. Step 5: Solve for x
    x = 577,180.59/833.24
  6. Step 6: Final answer
    x = 692.69

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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.