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Finding the Fourth Proportional to 583.56, 877.26 and 487.56

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Solution

The fourth proportional to 583.56, 877.26 and 487.56 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 877.26 = 487.56 : x
  2. Step 2: Convert to fraction form
    583.56/877.26 = 487.56/x
  3. Step 3: Cross multiply
    583.56x = 877.26 × 487.56
  4. Step 4: Simplify right side
    583.56x = 427,716.89
  5. Step 5: Solve for x
    x = 427,716.89/583.56
  6. Step 6: Final answer
    x = 732.94

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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.