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Finding the Fourth Proportional to 722.70, 997.32 and 565.50

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Solution

The fourth proportional to 722.70, 997.32 and 565.50 is: 780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.70 : 997.32 = 565.50 : x
  2. Step 2: Convert to fraction form
    722.70/997.32 = 565.50/x
  3. Step 3: Cross multiply
    722.70x = 997.32 × 565.50
  4. Step 4: Simplify right side
    722.70x = 563,984.46
  5. Step 5: Solve for x
    x = 563,984.46/722.70
  6. Step 6: Final answer
    x = 780.39

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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.