Home / 1,285.61-1,928.35-419.93

Finding the Fourth Proportional to 1,285.61, 1,928.35 and 419.93

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Solution

The fourth proportional to 1,285.61, 1,928.35 and 419.93 is: 629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.61 : 1,928.35 = 419.93 : x
  2. Step 2: Convert to fraction form
    1,285.61/1,928.35 = 419.93/x
  3. Step 3: Cross multiply
    1,285.61x = 1,928.35 × 419.93
  4. Step 4: Simplify right side
    1,285.61x = 809,772.02
  5. Step 5: Solve for x
    x = 809,772.02/1,285.61
  6. Step 6: Final answer
    x = 629.87

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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.