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Finding the Fourth Proportional to 1,147.38, 1,583.38 and 623.41

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Solution

The fourth proportional to 1,147.38, 1,583.38 and 623.41 is: 860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.38 : 1,583.38 = 623.41 : x
  2. Step 2: Convert to fraction form
    1,147.38/1,583.38 = 623.41/x
  3. Step 3: Cross multiply
    1,147.38x = 1,583.38 × 623.41
  4. Step 4: Simplify right side
    1,147.38x = 987,094.93
  5. Step 5: Solve for x
    x = 987,094.93/1,147.38
  6. Step 6: Final answer
    x = 860.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.