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Finding the Fourth Proportional to 833.50, 1,150.24 and 501.92

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Solution

The fourth proportional to 833.50, 1,150.24 and 501.92 is: 692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.50 : 1,150.24 = 501.92 : x
  2. Step 2: Convert to fraction form
    833.50/1,150.24 = 501.92/x
  3. Step 3: Cross multiply
    833.50x = 1,150.24 × 501.92
  4. Step 4: Simplify right side
    833.50x = 577,328.46
  5. Step 5: Solve for x
    x = 577,328.46/833.50
  6. Step 6: Final answer
    x = 692.66

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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.