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Finding the Fourth Proportional to 571.05, 788.81 and 562.68

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Solution

The fourth proportional to 571.05, 788.81 and 562.68 is: 777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.05 : 788.81 = 562.68 : x
  2. Step 2: Convert to fraction form
    571.05/788.81 = 562.68/x
  3. Step 3: Cross multiply
    571.05x = 788.81 × 562.68
  4. Step 4: Simplify right side
    571.05x = 443,844.80
  5. Step 5: Solve for x
    x = 443,844.80/571.05
  6. Step 6: Final answer
    x = 777.24

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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.