Home / 1,508.07-2,262.11-412.46

Finding the Fourth Proportional to 1,508.07, 2,262.11 and 412.46

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Solution

The fourth proportional to 1,508.07, 2,262.11 and 412.46 is: 618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.07 : 2,262.11 = 412.46 : x
  2. Step 2: Convert to fraction form
    1,508.07/2,262.11 = 412.46/x
  3. Step 3: Cross multiply
    1,508.07x = 2,262.11 × 412.46
  4. Step 4: Simplify right side
    1,508.07x = 933,016.52
  5. Step 5: Solve for x
    x = 933,016.52/1,508.07
  6. Step 6: Final answer
    x = 618.68

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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.