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Finding the Fourth Proportional to 1,146.10, 1,581.37 and 673.87

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Solution

The fourth proportional to 1,146.10, 1,581.37 and 673.87 is: 929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.10 : 1,581.37 = 673.87 : x
  2. Step 2: Convert to fraction form
    1,146.10/1,581.37 = 673.87/x
  3. Step 3: Cross multiply
    1,146.10x = 1,581.37 × 673.87
  4. Step 4: Simplify right side
    1,146.10x = 1,065,637.80
  5. Step 5: Solve for x
    x = 1,065,637.80/1,146.10
  6. Step 6: Final answer
    x = 929.79

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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.