Home / 1,506.22-2,256.12-725.08

Finding the Fourth Proportional to 1,506.22, 2,256.12 and 725.08

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Solution

The fourth proportional to 1,506.22, 2,256.12 and 725.08 is: 1,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.22 : 2,256.12 = 725.08 : x
  2. Step 2: Convert to fraction form
    1,506.22/2,256.12 = 725.08/x
  3. Step 3: Cross multiply
    1,506.22x = 2,256.12 × 725.08
  4. Step 4: Simplify right side
    1,506.22x = 1,635,867.49
  5. Step 5: Solve for x
    x = 1,635,867.49/1,506.22
  6. Step 6: Final answer
    x = 1,086.07

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1.5x scale

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.