Home / 1,506.24-2,259.04-410.48

Finding the Fourth Proportional to 1,506.24, 2,259.04 and 410.48

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Solution

The fourth proportional to 1,506.24, 2,259.04 and 410.48 is: 615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.24 : 2,259.04 = 410.48 : x
  2. Step 2: Convert to fraction form
    1,506.24/2,259.04 = 410.48/x
  3. Step 3: Cross multiply
    1,506.24x = 2,259.04 × 410.48
  4. Step 4: Simplify right side
    1,506.24x = 927,290.74
  5. Step 5: Solve for x
    x = 927,290.74/1,506.24
  6. Step 6: Final answer
    x = 615.63

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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.