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Finding the Fourth Proportional to 837.93, 1,254.77 and 512.31

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Solution

The fourth proportional to 837.93, 1,254.77 and 512.31 is: 767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.93 : 1,254.77 = 512.31 : x
  2. Step 2: Convert to fraction form
    837.93/1,254.77 = 512.31/x
  3. Step 3: Cross multiply
    837.93x = 1,254.77 × 512.31
  4. Step 4: Simplify right side
    837.93x = 642,831.22
  5. Step 5: Solve for x
    x = 642,831.22/837.93
  6. Step 6: Final answer
    x = 767.17

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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.