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Finding the Fourth Proportional to 764.78, 1,055.92 and 503.24

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Solution

The fourth proportional to 764.78, 1,055.92 and 503.24 is: 694.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.78 : 1,055.92 = 503.24 : x
  2. Step 2: Convert to fraction form
    764.78/1,055.92 = 503.24/x
  3. Step 3: Cross multiply
    764.78x = 1,055.92 × 503.24
  4. Step 4: Simplify right side
    764.78x = 531,381.18
  5. Step 5: Solve for x
    x = 531,381.18/764.78
  6. Step 6: Final answer
    x = 694.82

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