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Finding the Fourth Proportional to 894.86, 1,342.81 and 347.02

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Solution

The fourth proportional to 894.86, 1,342.81 and 347.02 is: 520.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.86 : 1,342.81 = 347.02 : x
  2. Step 2: Convert to fraction form
    894.86/1,342.81 = 347.02/x
  3. Step 3: Cross multiply
    894.86x = 1,342.81 × 347.02
  4. Step 4: Simplify right side
    894.86x = 465,981.93
  5. Step 5: Solve for x
    x = 465,981.93/894.86
  6. Step 6: Final answer
    x = 520.73

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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.