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Finding the Fourth Proportional to 1,279.96, 1,919.86 and 402.40

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Solution

The fourth proportional to 1,279.96, 1,919.86 and 402.40 is: 603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.96 : 1,919.86 = 402.40 : x
  2. Step 2: Convert to fraction form
    1,279.96/1,919.86 = 402.40/x
  3. Step 3: Cross multiply
    1,279.96x = 1,919.86 × 402.40
  4. Step 4: Simplify right side
    1,279.96x = 772,551.66
  5. Step 5: Solve for x
    x = 772,551.66/1,279.96
  6. Step 6: Final answer
    x = 603.57

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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.