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Finding the Fourth Proportional to 764.38, 1,143.93 and 471.75

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Solution

The fourth proportional to 764.38, 1,143.93 and 471.75 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.38 : 1,143.93 = 471.75 : x
  2. Step 2: Convert to fraction form
    764.38/1,143.93 = 471.75/x
  3. Step 3: Cross multiply
    764.38x = 1,143.93 × 471.75
  4. Step 4: Simplify right side
    764.38x = 539,648.98
  5. Step 5: Solve for x
    x = 539,648.98/764.38
  6. Step 6: Final answer
    x = 706.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.