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Finding the Fourth Proportional to 786.06, 1,084.92 and 565.74

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Solution

The fourth proportional to 786.06, 1,084.92 and 565.74 is: 780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.06 : 1,084.92 = 565.74 : x
  2. Step 2: Convert to fraction form
    786.06/1,084.92 = 565.74/x
  3. Step 3: Cross multiply
    786.06x = 1,084.92 × 565.74
  4. Step 4: Simplify right side
    786.06x = 613,782.64
  5. Step 5: Solve for x
    x = 613,782.64/786.06
  6. Step 6: Final answer
    x = 780.83

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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.