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Finding the Fourth Proportional to 848.48, 1,272.92 and 415.13

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Solution

The fourth proportional to 848.48, 1,272.92 and 415.13 is: 622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.48 : 1,272.92 = 415.13 : x
  2. Step 2: Convert to fraction form
    848.48/1,272.92 = 415.13/x
  3. Step 3: Cross multiply
    848.48x = 1,272.92 × 415.13
  4. Step 4: Simplify right side
    848.48x = 528,418.84
  5. Step 5: Solve for x
    x = 528,418.84/848.48
  6. Step 6: Final answer
    x = 622.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.