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Finding the Fourth Proportional to 1,494.95, 2,242.89 and 673.04

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Solution

The fourth proportional to 1,494.95, 2,242.89 and 673.04 is: 1,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.95 : 2,242.89 = 673.04 : x
  2. Step 2: Convert to fraction form
    1,494.95/2,242.89 = 673.04/x
  3. Step 3: Cross multiply
    1,494.95x = 2,242.89 × 673.04
  4. Step 4: Simplify right side
    1,494.95x = 1,509,560.29
  5. Step 5: Solve for x
    x = 1,509,560.29/1,494.95
  6. Step 6: Final answer
    x = 1,009.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.