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Finding the Fourth Proportional to 722.10, 997.18 and 575.81

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Solution

The fourth proportional to 722.10, 997.18 and 575.81 is: 795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.10 : 997.18 = 575.81 : x
  2. Step 2: Convert to fraction form
    722.10/997.18 = 575.81/x
  3. Step 3: Cross multiply
    722.10x = 997.18 × 575.81
  4. Step 4: Simplify right side
    722.10x = 574,186.22
  5. Step 5: Solve for x
    x = 574,186.22/722.10
  6. Step 6: Final answer
    x = 795.16

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