Home / 1,503.77-2,256.07-724.43

Finding the Fourth Proportional to 1,503.77, 2,256.07 and 724.43

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Solution

The fourth proportional to 1,503.77, 2,256.07 and 724.43 is: 1,086.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.77 : 2,256.07 = 724.43 : x
  2. Step 2: Convert to fraction form
    1,503.77/2,256.07 = 724.43/x
  3. Step 3: Cross multiply
    1,503.77x = 2,256.07 × 724.43
  4. Step 4: Simplify right side
    1,503.77x = 1,634,364.79
  5. Step 5: Solve for x
    x = 1,634,364.79/1,503.77
  6. Step 6: Final answer
    x = 1,086.84

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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.