Home / 1,507.32-2,259.90-727.74

Finding the Fourth Proportional to 1,507.32, 2,259.90 and 727.74

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Solution

The fourth proportional to 1,507.32, 2,259.90 and 727.74 is: 1,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.32 : 2,259.90 = 727.74 : x
  2. Step 2: Convert to fraction form
    1,507.32/2,259.90 = 727.74/x
  3. Step 3: Cross multiply
    1,507.32x = 2,259.90 × 727.74
  4. Step 4: Simplify right side
    1,507.32x = 1,644,619.63
  5. Step 5: Solve for x
    x = 1,644,619.63/1,507.32
  6. Step 6: Final answer
    x = 1,091.09

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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.