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Finding the Fourth Proportional to 1,053.67, 1,580.49 and 360.33

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Solution

The fourth proportional to 1,053.67, 1,580.49 and 360.33 is: 540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.67 : 1,580.49 = 360.33 : x
  2. Step 2: Convert to fraction form
    1,053.67/1,580.49 = 360.33/x
  3. Step 3: Cross multiply
    1,053.67x = 1,580.49 × 360.33
  4. Step 4: Simplify right side
    1,053.67x = 569,497.96
  5. Step 5: Solve for x
    x = 569,497.96/1,053.67
  6. Step 6: Final answer
    x = 540.49

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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.