Home / 1,506.28-2,260.68-776.56

Finding the Fourth Proportional to 1,506.28, 2,260.68 and 776.56

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Solution

The fourth proportional to 1,506.28, 2,260.68 and 776.56 is: 1,165.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.28 : 2,260.68 = 776.56 : x
  2. Step 2: Convert to fraction form
    1,506.28/2,260.68 = 776.56/x
  3. Step 3: Cross multiply
    1,506.28x = 2,260.68 × 776.56
  4. Step 4: Simplify right side
    1,506.28x = 1,755,553.66
  5. Step 5: Solve for x
    x = 1,755,553.66/1,506.28
  6. Step 6: Final answer
    x = 1,165.49

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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.