Home / 1,054.06-1,580.97-284.50

Finding the Fourth Proportional to 1,054.06, 1,580.97 and 284.50

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Solution

The fourth proportional to 1,054.06, 1,580.97 and 284.50 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.06 : 1,580.97 = 284.50 : x
  2. Step 2: Convert to fraction form
    1,054.06/1,580.97 = 284.50/x
  3. Step 3: Cross multiply
    1,054.06x = 1,580.97 × 284.50
  4. Step 4: Simplify right side
    1,054.06x = 449,785.97
  5. Step 5: Solve for x
    x = 449,785.97/1,054.06
  6. Step 6: Final answer
    x = 426.72

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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.