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Finding the Fourth Proportional to 928.86, 1,393.29 and 415.26

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Solution

The fourth proportional to 928.86, 1,393.29 and 415.26 is: 622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.86 : 1,393.29 = 415.26 : x
  2. Step 2: Convert to fraction form
    928.86/1,393.29 = 415.26/x
  3. Step 3: Cross multiply
    928.86x = 1,393.29 × 415.26
  4. Step 4: Simplify right side
    928.86x = 578,577.61
  5. Step 5: Solve for x
    x = 578,577.61/928.86
  6. Step 6: Final answer
    x = 622.89

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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.