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Finding the Fourth Proportional to 837.07, 1,254.18 and 511.75

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Solution

The fourth proportional to 837.07, 1,254.18 and 511.75 is: 766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.07 : 1,254.18 = 511.75 : x
  2. Step 2: Convert to fraction form
    837.07/1,254.18 = 511.75/x
  3. Step 3: Cross multiply
    837.07x = 1,254.18 × 511.75
  4. Step 4: Simplify right side
    837.07x = 641,830.10
  5. Step 5: Solve for x
    x = 641,830.10/837.07
  6. Step 6: Final answer
    x = 766.76

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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.