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Finding the Fourth Proportional to 1,061.00, 1,591.70 and 475.77

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Solution

The fourth proportional to 1,061.00, 1,591.70 and 475.77 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.00 : 1,591.70 = 475.77 : x
  2. Step 2: Convert to fraction form
    1,061.00/1,591.70 = 475.77/x
  3. Step 3: Cross multiply
    1,061.00x = 1,591.70 × 475.77
  4. Step 4: Simplify right side
    1,061.00x = 757,280.73
  5. Step 5: Solve for x
    x = 757,280.73/1,061.00
  6. Step 6: Final answer
    x = 713.75

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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.