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Finding the Fourth Proportional to 764.91, 1,054.47 and 565.45

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Solution

The fourth proportional to 764.91, 1,054.47 and 565.45 is: 779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.91 : 1,054.47 = 565.45 : x
  2. Step 2: Convert to fraction form
    764.91/1,054.47 = 565.45/x
  3. Step 3: Cross multiply
    764.91x = 1,054.47 × 565.45
  4. Step 4: Simplify right side
    764.91x = 596,250.06
  5. Step 5: Solve for x
    x = 596,250.06/764.91
  6. Step 6: Final answer
    x = 779.50

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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.