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Finding the Fourth Proportional to 1,494.47, 2,241.93 and 520.31

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Solution

The fourth proportional to 1,494.47, 2,241.93 and 520.31 is: 780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.47 : 2,241.93 = 520.31 : x
  2. Step 2: Convert to fraction form
    1,494.47/2,241.93 = 520.31/x
  3. Step 3: Cross multiply
    1,494.47x = 2,241.93 × 520.31
  4. Step 4: Simplify right side
    1,494.47x = 1,166,498.60
  5. Step 5: Solve for x
    x = 1,166,498.60/1,494.47
  6. Step 6: Final answer
    x = 780.54

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