Home / 1,055.32-1,583.01-324.82

Finding the Fourth Proportional to 1,055.32, 1,583.01 and 324.82

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Solution

The fourth proportional to 1,055.32, 1,583.01 and 324.82 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.32 : 1,583.01 = 324.82 : x
  2. Step 2: Convert to fraction form
    1,055.32/1,583.01 = 324.82/x
  3. Step 3: Cross multiply
    1,055.32x = 1,583.01 × 324.82
  4. Step 4: Simplify right side
    1,055.32x = 514,193.31
  5. Step 5: Solve for x
    x = 514,193.31/1,055.32
  6. Step 6: Final answer
    x = 487.24

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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.