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Finding the Fourth Proportional to 833.24, 1,150 and 497.34

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Solution

The fourth proportional to 833.24, 1,150 and 497.34 is: 686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.24 : 1,150 = 497.34 : x
  2. Step 2: Convert to fraction form
    833.24/1,150 = 497.34/x
  3. Step 3: Cross multiply
    833.24x = 1,150 × 497.34
  4. Step 4: Simplify right side
    833.24x = 571,941
  5. Step 5: Solve for x
    x = 571,941/833.24
  6. Step 6: Final answer
    x = 686.41

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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.