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Finding the Fourth Proportional to 1,147.56, 1,583.61 and 623.58

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Solution

The fourth proportional to 1,147.56, 1,583.61 and 623.58 is: 860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.56 : 1,583.61 = 623.58 : x
  2. Step 2: Convert to fraction form
    1,147.56/1,583.61 = 623.58/x
  3. Step 3: Cross multiply
    1,147.56x = 1,583.61 × 623.58
  4. Step 4: Simplify right side
    1,147.56x = 987,507.52
  5. Step 5: Solve for x
    x = 987,507.52/1,147.56
  6. Step 6: Final answer
    x = 860.53

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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.