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Finding the Fourth Proportional to 569.46, 786.70 and 565.14

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Solution

The fourth proportional to 569.46, 786.70 and 565.14 is: 780.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.46 : 786.70 = 565.14 : x
  2. Step 2: Convert to fraction form
    569.46/786.70 = 565.14/x
  3. Step 3: Cross multiply
    569.46x = 786.70 × 565.14
  4. Step 4: Simplify right side
    569.46x = 444,595.64
  5. Step 5: Solve for x
    x = 444,595.64/569.46
  6. Step 6: Final answer
    x = 780.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.