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Finding the Fourth Proportional to 1,115.37, 1,539.26 and 673.42

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Solution

The fourth proportional to 1,115.37, 1,539.26 and 673.42 is: 929.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.37 : 1,539.26 = 673.42 : x
  2. Step 2: Convert to fraction form
    1,115.37/1,539.26 = 673.42/x
  3. Step 3: Cross multiply
    1,115.37x = 1,539.26 × 673.42
  4. Step 4: Simplify right side
    1,115.37x = 1,036,568.47
  5. Step 5: Solve for x
    x = 1,036,568.47/1,115.37
  6. Step 6: Final answer
    x = 929.35

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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.