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Finding the Fourth Proportional to 945.84, 1,408.80 and 885.84

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Solution

The fourth proportional to 945.84, 1,408.80 and 885.84 is: 1,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.84 : 1,408.80 = 885.84 : x
  2. Step 2: Convert to fraction form
    945.84/1,408.80 = 885.84/x
  3. Step 3: Cross multiply
    945.84x = 1,408.80 × 885.84
  4. Step 4: Simplify right side
    945.84x = 1,247,971.39
  5. Step 5: Solve for x
    x = 1,247,971.39/945.84
  6. Step 6: Final answer
    x = 1,319.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.