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Finding the Fourth Proportional to 833.49, 1,251.68 and 510.75

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Solution

The fourth proportional to 833.49, 1,251.68 and 510.75 is: 767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.49 : 1,251.68 = 510.75 : x
  2. Step 2: Convert to fraction form
    833.49/1,251.68 = 510.75/x
  3. Step 3: Cross multiply
    833.49x = 1,251.68 × 510.75
  4. Step 4: Simplify right side
    833.49x = 639,293.01
  5. Step 5: Solve for x
    x = 639,293.01/833.49
  6. Step 6: Final answer
    x = 767.01

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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.