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Finding the Fourth Proportional to 877.43, 1,315.68 and 512.33

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Solution

The fourth proportional to 877.43, 1,315.68 and 512.33 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.43 : 1,315.68 = 512.33 : x
  2. Step 2: Convert to fraction form
    877.43/1,315.68 = 512.33/x
  3. Step 3: Cross multiply
    877.43x = 1,315.68 × 512.33
  4. Step 4: Simplify right side
    877.43x = 674,062.33
  5. Step 5: Solve for x
    x = 674,062.33/877.43
  6. Step 6: Final answer
    x = 768.22

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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.