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Finding the Fourth Proportional to 569.18, 782.49 and 565.67

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Solution

The fourth proportional to 569.18, 782.49 and 565.67 is: 777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.18 : 782.49 = 565.67 : x
  2. Step 2: Convert to fraction form
    569.18/782.49 = 565.67/x
  3. Step 3: Cross multiply
    569.18x = 782.49 × 565.67
  4. Step 4: Simplify right side
    569.18x = 442,631.12
  5. Step 5: Solve for x
    x = 442,631.12/569.18
  6. Step 6: Final answer
    x = 777.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.