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Finding the Fourth Proportional to 1,019.86, 1,529.89 and 279.48

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Solution

The fourth proportional to 1,019.86, 1,529.89 and 279.48 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.86 : 1,529.89 = 279.48 : x
  2. Step 2: Convert to fraction form
    1,019.86/1,529.89 = 279.48/x
  3. Step 3: Cross multiply
    1,019.86x = 1,529.89 × 279.48
  4. Step 4: Simplify right side
    1,019.86x = 427,573.66
  5. Step 5: Solve for x
    x = 427,573.66/1,019.86
  6. Step 6: Final answer
    x = 419.25

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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.