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Finding the Fourth Proportional to 967.44, 1,335.07 and 525.35

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Solution

The fourth proportional to 967.44, 1,335.07 and 525.35 is: 724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.44 : 1,335.07 = 525.35 : x
  2. Step 2: Convert to fraction form
    967.44/1,335.07 = 525.35/x
  3. Step 3: Cross multiply
    967.44x = 1,335.07 × 525.35
  4. Step 4: Simplify right side
    967.44x = 701,382.03
  5. Step 5: Solve for x
    x = 701,382.03/967.44
  6. Step 6: Final answer
    x = 724.99

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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.