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Finding the Fourth Proportional to 967.44, 1,335.78 and 706.08

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Solution

The fourth proportional to 967.44, 1,335.78 and 706.08 is: 974.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.44 : 1,335.78 = 706.08 : x
  2. Step 2: Convert to fraction form
    967.44/1,335.78 = 706.08/x
  3. Step 3: Cross multiply
    967.44x = 1,335.78 × 706.08
  4. Step 4: Simplify right side
    967.44x = 943,167.54
  5. Step 5: Solve for x
    x = 943,167.54/967.44
  6. Step 6: Final answer
    x = 974.91

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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.