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Finding the Fourth Proportional to 1,193.58, 1,647.94 and 913.31

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Solution

The fourth proportional to 1,193.58, 1,647.94 and 913.31 is: 1,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.58 : 1,647.94 = 913.31 : x
  2. Step 2: Convert to fraction form
    1,193.58/1,647.94 = 913.31/x
  3. Step 3: Cross multiply
    1,193.58x = 1,647.94 × 913.31
  4. Step 4: Simplify right side
    1,193.58x = 1,505,082.14
  5. Step 5: Solve for x
    x = 1,505,082.14/1,193.58
  6. Step 6: Final answer
    x = 1,260.98

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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.