Home / 1,053.27-1,580.22-322.92

Finding the Fourth Proportional to 1,053.27, 1,580.22 and 322.92

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Solution

The fourth proportional to 1,053.27, 1,580.22 and 322.92 is: 484.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.27 : 1,580.22 = 322.92 : x
  2. Step 2: Convert to fraction form
    1,053.27/1,580.22 = 322.92/x
  3. Step 3: Cross multiply
    1,053.27x = 1,580.22 × 322.92
  4. Step 4: Simplify right side
    1,053.27x = 510,284.64
  5. Step 5: Solve for x
    x = 510,284.64/1,053.27
  6. Step 6: Final answer
    x = 484.48

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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.