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Finding the Fourth Proportional to 1,578.06, 2,365.38 and 653.02

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Solution

The fourth proportional to 1,578.06, 2,365.38 and 653.02 is: 978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.06 : 2,365.38 = 653.02 : x
  2. Step 2: Convert to fraction form
    1,578.06/2,365.38 = 653.02/x
  3. Step 3: Cross multiply
    1,578.06x = 2,365.38 × 653.02
  4. Step 4: Simplify right side
    1,578.06x = 1,544,649.33
  5. Step 5: Solve for x
    x = 1,544,649.33/1,578.06
  6. Step 6: Final answer
    x = 978.83

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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.