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Finding the Fourth Proportional to 786.35, 1,086.07 and 565.63

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Solution

The fourth proportional to 786.35, 1,086.07 and 565.63 is: 781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.35 : 1,086.07 = 565.63 : x
  2. Step 2: Convert to fraction form
    786.35/1,086.07 = 565.63/x
  3. Step 3: Cross multiply
    786.35x = 1,086.07 × 565.63
  4. Step 4: Simplify right side
    786.35x = 614,313.77
  5. Step 5: Solve for x
    x = 614,313.77/786.35
  6. Step 6: Final answer
    x = 781.22

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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.