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Finding the Fourth Proportional to 1,290.96, 1,936.44 and 469.24

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Solution

The fourth proportional to 1,290.96, 1,936.44 and 469.24 is: 703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.96 : 1,936.44 = 469.24 : x
  2. Step 2: Convert to fraction form
    1,290.96/1,936.44 = 469.24/x
  3. Step 3: Cross multiply
    1,290.96x = 1,936.44 × 469.24
  4. Step 4: Simplify right side
    1,290.96x = 908,650.26
  5. Step 5: Solve for x
    x = 908,650.26/1,290.96
  6. Step 6: Final answer
    x = 703.86

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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.