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Finding the Fourth Proportional to 1,147.54, 1,579.53 and 848.22

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Solution

The fourth proportional to 1,147.54, 1,579.53 and 848.22 is: 1,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.54 : 1,579.53 = 848.22 : x
  2. Step 2: Convert to fraction form
    1,147.54/1,579.53 = 848.22/x
  3. Step 3: Cross multiply
    1,147.54x = 1,579.53 × 848.22
  4. Step 4: Simplify right side
    1,147.54x = 1,339,788.94
  5. Step 5: Solve for x
    x = 1,339,788.94/1,147.54
  6. Step 6: Final answer
    x = 1,167.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.