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Finding the Fourth Proportional to 1,053.50, 1,580.23 and 273.43

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Solution

The fourth proportional to 1,053.50, 1,580.23 and 273.43 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.50 : 1,580.23 = 273.43 : x
  2. Step 2: Convert to fraction form
    1,053.50/1,580.23 = 273.43/x
  3. Step 3: Cross multiply
    1,053.50x = 1,580.23 × 273.43
  4. Step 4: Simplify right side
    1,053.50x = 432,083.15
  5. Step 5: Solve for x
    x = 432,083.15/1,053.50
  6. Step 6: Final answer
    x = 410.14

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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.