Home / 1,509.23-2,264.19-584.80

Finding the Fourth Proportional to 1,509.23, 2,264.19 and 584.80

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Solution

The fourth proportional to 1,509.23, 2,264.19 and 584.80 is: 877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.23 : 2,264.19 = 584.80 : x
  2. Step 2: Convert to fraction form
    1,509.23/2,264.19 = 584.80/x
  3. Step 3: Cross multiply
    1,509.23x = 2,264.19 × 584.80
  4. Step 4: Simplify right side
    1,509.23x = 1,324,098.31
  5. Step 5: Solve for x
    x = 1,324,098.31/1,509.23
  6. Step 6: Final answer
    x = 877.33

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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.