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Finding the Fourth Proportional to 764.76, 1,055.48 and 502.93

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Solution

The fourth proportional to 764.76, 1,055.48 and 502.93 is: 694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.76 : 1,055.48 = 502.93 : x
  2. Step 2: Convert to fraction form
    764.76/1,055.48 = 502.93/x
  3. Step 3: Cross multiply
    764.76x = 1,055.48 × 502.93
  4. Step 4: Simplify right side
    764.76x = 530,832.56
  5. Step 5: Solve for x
    x = 530,832.56/764.76
  6. Step 6: Final answer
    x = 694.12

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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.