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Finding the Fourth Proportional to 833.81, 1,250.66 and 346.51

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Solution

The fourth proportional to 833.81, 1,250.66 and 346.51 is: 519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.81 : 1,250.66 = 346.51 : x
  2. Step 2: Convert to fraction form
    833.81/1,250.66 = 346.51/x
  3. Step 3: Cross multiply
    833.81x = 1,250.66 × 346.51
  4. Step 4: Simplify right side
    833.81x = 433,366.20
  5. Step 5: Solve for x
    x = 433,366.20/833.81
  6. Step 6: Final answer
    x = 519.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.