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Finding the Fourth Proportional to 722.79, 996.68 and 565.16

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Solution

The fourth proportional to 722.79, 996.68 and 565.16 is: 779.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.79 : 996.68 = 565.16 : x
  2. Step 2: Convert to fraction form
    722.79/996.68 = 565.16/x
  3. Step 3: Cross multiply
    722.79x = 996.68 × 565.16
  4. Step 4: Simplify right side
    722.79x = 563,280.10
  5. Step 5: Solve for x
    x = 563,280.10/722.79
  6. Step 6: Final answer
    x = 779.31

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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.