Home / 1,507.11-2,260.26-776.22

Finding the Fourth Proportional to 1,507.11, 2,260.26 and 776.22

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Solution

The fourth proportional to 1,507.11, 2,260.26 and 776.22 is: 1,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.11 : 2,260.26 = 776.22 : x
  2. Step 2: Convert to fraction form
    1,507.11/2,260.26 = 776.22/x
  3. Step 3: Cross multiply
    1,507.11x = 2,260.26 × 776.22
  4. Step 4: Simplify right side
    1,507.11x = 1,754,459.02
  5. Step 5: Solve for x
    x = 1,754,459.02/1,507.11
  6. Step 6: Final answer
    x = 1,164.12

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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.