Home / 1,507.04-2,260.77-467.13

Finding the Fourth Proportional to 1,507.04, 2,260.77 and 467.13

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Solution

The fourth proportional to 1,507.04, 2,260.77 and 467.13 is: 700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.04 : 2,260.77 = 467.13 : x
  2. Step 2: Convert to fraction form
    1,507.04/2,260.77 = 467.13/x
  3. Step 3: Cross multiply
    1,507.04x = 2,260.77 × 467.13
  4. Step 4: Simplify right side
    1,507.04x = 1,056,073.49
  5. Step 5: Solve for x
    x = 1,056,073.49/1,507.04
  6. Step 6: Final answer
    x = 700.76

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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.