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Finding the Fourth Proportional to 764.66, 1,055.14 and 565.61

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Solution

The fourth proportional to 764.66, 1,055.14 and 565.61 is: 780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.66 : 1,055.14 = 565.61 : x
  2. Step 2: Convert to fraction form
    764.66/1,055.14 = 565.61/x
  3. Step 3: Cross multiply
    764.66x = 1,055.14 × 565.61
  4. Step 4: Simplify right side
    764.66x = 596,791.05
  5. Step 5: Solve for x
    x = 596,791.05/764.66
  6. Step 6: Final answer
    x = 780.46

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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.