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Finding the Fourth Proportional to 891.75, 1,337.63 and 283.75

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Solution

The fourth proportional to 891.75, 1,337.63 and 283.75 is: 425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.75 : 1,337.63 = 283.75 : x
  2. Step 2: Convert to fraction form
    891.75/1,337.63 = 283.75/x
  3. Step 3: Cross multiply
    891.75x = 1,337.63 × 283.75
  4. Step 4: Simplify right side
    891.75x = 379,552.51
  5. Step 5: Solve for x
    x = 379,552.51/891.75
  6. Step 6: Final answer
    x = 425.63

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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.