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Finding the Fourth Proportional to 967.37, 1,335.33 and 653.53

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Solution

The fourth proportional to 967.37, 1,335.33 and 653.53 is: 902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.37 : 1,335.33 = 653.53 : x
  2. Step 2: Convert to fraction form
    967.37/1,335.33 = 653.53/x
  3. Step 3: Cross multiply
    967.37x = 1,335.33 × 653.53
  4. Step 4: Simplify right side
    967.37x = 872,671.54
  5. Step 5: Solve for x
    x = 872,671.54/967.37
  6. Step 6: Final answer
    x = 902.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.