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Finding the Fourth Proportional to 1,494.72, 2,242.28 and 520.59

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Solution

The fourth proportional to 1,494.72, 2,242.28 and 520.59 is: 780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.72 : 2,242.28 = 520.59 : x
  2. Step 2: Convert to fraction form
    1,494.72/2,242.28 = 520.59/x
  3. Step 3: Cross multiply
    1,494.72x = 2,242.28 × 520.59
  4. Step 4: Simplify right side
    1,494.72x = 1,167,318.26
  5. Step 5: Solve for x
    x = 1,167,318.26/1,494.72
  6. Step 6: Final answer
    x = 780.96

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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.