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Finding the Fourth Proportional to 570.74, 789.03 and 565.54

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Solution

The fourth proportional to 570.74, 789.03 and 565.54 is: 781.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 789.03 = 565.54 : x
  2. Step 2: Convert to fraction form
    570.74/789.03 = 565.54/x
  3. Step 3: Cross multiply
    570.74x = 789.03 × 565.54
  4. Step 4: Simplify right side
    570.74x = 446,226.05
  5. Step 5: Solve for x
    x = 446,226.05/570.74
  6. Step 6: Final answer
    x = 781.84

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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.