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Finding the Fourth Proportional to 1,147.61, 1,583.33 and 650.21

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Solution

The fourth proportional to 1,147.61, 1,583.33 and 650.21 is: 897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.61 : 1,583.33 = 650.21 : x
  2. Step 2: Convert to fraction form
    1,147.61/1,583.33 = 650.21/x
  3. Step 3: Cross multiply
    1,147.61x = 1,583.33 × 650.21
  4. Step 4: Simplify right side
    1,147.61x = 1,029,485.83
  5. Step 5: Solve for x
    x = 1,029,485.83/1,147.61
  6. Step 6: Final answer
    x = 897.07

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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.