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Finding the Fourth Proportional to 874.57, 1,313.14 and 583.88

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Solution

The fourth proportional to 874.57, 1,313.14 and 583.88 is: 876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.57 : 1,313.14 = 583.88 : x
  2. Step 2: Convert to fraction form
    874.57/1,313.14 = 583.88/x
  3. Step 3: Cross multiply
    874.57x = 1,313.14 × 583.88
  4. Step 4: Simplify right side
    874.57x = 766,709.62
  5. Step 5: Solve for x
    x = 766,709.62/874.57
  6. Step 6: Final answer
    x = 876.68

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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.