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Finding the Fourth Proportional to 833.53, 1,150.17 and 501.88

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Solution

The fourth proportional to 833.53, 1,150.17 and 501.88 is: 692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.53 : 1,150.17 = 501.88 : x
  2. Step 2: Convert to fraction form
    833.53/1,150.17 = 501.88/x
  3. Step 3: Cross multiply
    833.53x = 1,150.17 × 501.88
  4. Step 4: Simplify right side
    833.53x = 577,247.32
  5. Step 5: Solve for x
    x = 577,247.32/833.53
  6. Step 6: Final answer
    x = 692.53

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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.