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Finding the Fourth Proportional to 1,147.35, 1,583.30 and 623.37

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Solution

The fourth proportional to 1,147.35, 1,583.30 and 623.37 is: 860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.35 : 1,583.30 = 623.37 : x
  2. Step 2: Convert to fraction form
    1,147.35/1,583.30 = 623.37/x
  3. Step 3: Cross multiply
    1,147.35x = 1,583.30 × 623.37
  4. Step 4: Simplify right side
    1,147.35x = 986,978.60
  5. Step 5: Solve for x
    x = 986,978.60/1,147.35
  6. Step 6: Final answer
    x = 860.22

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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.