Home / 1,506.43-2,259.29-410.57

Finding the Fourth Proportional to 1,506.43, 2,259.29 and 410.57

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Solution

The fourth proportional to 1,506.43, 2,259.29 and 410.57 is: 615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.43 : 2,259.29 = 410.57 : x
  2. Step 2: Convert to fraction form
    1,506.43/2,259.29 = 410.57/x
  3. Step 3: Cross multiply
    1,506.43x = 2,259.29 × 410.57
  4. Step 4: Simplify right side
    1,506.43x = 927,603.37
  5. Step 5: Solve for x
    x = 927,603.37/1,506.43
  6. Step 6: Final answer
    x = 615.76

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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.