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Finding the Fourth Proportional to 663.86, 995.80 and 510.78

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Solution

The fourth proportional to 663.86, 995.80 and 510.78 is: 766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.86 : 995.80 = 510.78 : x
  2. Step 2: Convert to fraction form
    663.86/995.80 = 510.78/x
  3. Step 3: Cross multiply
    663.86x = 995.80 × 510.78
  4. Step 4: Simplify right side
    663.86x = 508,634.72
  5. Step 5: Solve for x
    x = 508,634.72/663.86
  6. Step 6: Final answer
    x = 766.18

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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.