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Finding the Fourth Proportional to 722.86, 996.51 and 515.50

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Solution

The fourth proportional to 722.86, 996.51 and 515.50 is: 710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.86 : 996.51 = 515.50 : x
  2. Step 2: Convert to fraction form
    722.86/996.51 = 515.50/x
  3. Step 3: Cross multiply
    722.86x = 996.51 × 515.50
  4. Step 4: Simplify right side
    722.86x = 513,700.91
  5. Step 5: Solve for x
    x = 513,700.91/722.86
  6. Step 6: Final answer
    x = 710.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.