Home / 1,285.46-1,927.47-419.54

Finding the Fourth Proportional to 1,285.46, 1,927.47 and 419.54

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Solution

The fourth proportional to 1,285.46, 1,927.47 and 419.54 is: 629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.46 : 1,927.47 = 419.54 : x
  2. Step 2: Convert to fraction form
    1,285.46/1,927.47 = 419.54/x
  3. Step 3: Cross multiply
    1,285.46x = 1,927.47 × 419.54
  4. Step 4: Simplify right side
    1,285.46x = 808,650.76
  5. Step 5: Solve for x
    x = 808,650.76/1,285.46
  6. Step 6: Final answer
    x = 629.08

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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.