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Finding the Fourth Proportional to 967.33, 1,334.90 and 525.23

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Solution

The fourth proportional to 967.33, 1,334.90 and 525.23 is: 724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.33 : 1,334.90 = 525.23 : x
  2. Step 2: Convert to fraction form
    967.33/1,334.90 = 525.23/x
  3. Step 3: Cross multiply
    967.33x = 1,334.90 × 525.23
  4. Step 4: Simplify right side
    967.33x = 701,129.53
  5. Step 5: Solve for x
    x = 701,129.53/967.33
  6. Step 6: Final answer
    x = 724.81

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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.