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Finding the Fourth Proportional to 764.97, 1,056.11 and 503.45

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Solution

The fourth proportional to 764.97, 1,056.11 and 503.45 is: 695.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.97 : 1,056.11 = 503.45 : x
  2. Step 2: Convert to fraction form
    764.97/1,056.11 = 503.45/x
  3. Step 3: Cross multiply
    764.97x = 1,056.11 × 503.45
  4. Step 4: Simplify right side
    764.97x = 531,690.78
  5. Step 5: Solve for x
    x = 531,690.78/764.97
  6. Step 6: Final answer
    x = 695.05

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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.