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Finding the Fourth Proportional to 885.96, 1,328.07 and 496.16

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Solution

The fourth proportional to 885.96, 1,328.07 and 496.16 is: 743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.96 : 1,328.07 = 496.16 : x
  2. Step 2: Convert to fraction form
    885.96/1,328.07 = 496.16/x
  3. Step 3: Cross multiply
    885.96x = 1,328.07 × 496.16
  4. Step 4: Simplify right side
    885.96x = 658,928.57
  5. Step 5: Solve for x
    x = 658,928.57/885.96
  6. Step 6: Final answer
    x = 743.75

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Why These Related Problems?

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