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Finding the Fourth Proportional to 722.08, 997.68 and 597.52

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Solution

The fourth proportional to 722.08, 997.68 and 597.52 is: 825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.08 : 997.68 = 597.52 : x
  2. Step 2: Convert to fraction form
    722.08/997.68 = 597.52/x
  3. Step 3: Cross multiply
    722.08x = 997.68 × 597.52
  4. Step 4: Simplify right side
    722.08x = 596,133.75
  5. Step 5: Solve for x
    x = 596,133.75/722.08
  6. Step 6: Final answer
    x = 825.58

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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.