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Finding the Fourth Proportional to 967.35, 1,337.54 and 844.34

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Solution

The fourth proportional to 967.35, 1,337.54 and 844.34 is: 1,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.35 : 1,337.54 = 844.34 : x
  2. Step 2: Convert to fraction form
    967.35/1,337.54 = 844.34/x
  3. Step 3: Cross multiply
    967.35x = 1,337.54 × 844.34
  4. Step 4: Simplify right side
    967.35x = 1,129,327.61
  5. Step 5: Solve for x
    x = 1,129,327.61/967.35
  6. Step 6: Final answer
    x = 1,167.44

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1.5x scale

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.