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Finding the Fourth Proportional to 569.18, 786.87 and 563.99

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Solution

The fourth proportional to 569.18, 786.87 and 563.99 is: 779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.18 : 786.87 = 563.99 : x
  2. Step 2: Convert to fraction form
    569.18/786.87 = 563.99/x
  3. Step 3: Cross multiply
    569.18x = 786.87 × 563.99
  4. Step 4: Simplify right side
    569.18x = 443,786.81
  5. Step 5: Solve for x
    x = 443,786.81/569.18
  6. Step 6: Final answer
    x = 779.70

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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.