Home / 1,053.26-1,580.30-566.06

Finding the Fourth Proportional to 1,053.26, 1,580.30 and 566.06

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Solution

The fourth proportional to 1,053.26, 1,580.30 and 566.06 is: 849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.26 : 1,580.30 = 566.06 : x
  2. Step 2: Convert to fraction form
    1,053.26/1,580.30 = 566.06/x
  3. Step 3: Cross multiply
    1,053.26x = 1,580.30 × 566.06
  4. Step 4: Simplify right side
    1,053.26x = 894,544.62
  5. Step 5: Solve for x
    x = 894,544.62/1,053.26
  6. Step 6: Final answer
    x = 849.31

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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.