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Finding the Fourth Proportional to 570.72, 788.03 and 561.64

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Solution

The fourth proportional to 570.72, 788.03 and 561.64 is: 775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 788.03 = 561.64 : x
  2. Step 2: Convert to fraction form
    570.72/788.03 = 561.64/x
  3. Step 3: Cross multiply
    570.72x = 788.03 × 561.64
  4. Step 4: Simplify right side
    570.72x = 442,589.17
  5. Step 5: Solve for x
    x = 442,589.17/570.72
  6. Step 6: Final answer
    x = 775.49

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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.