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Finding the Fourth Proportional to 967.34, 1,334.13 and 734.06

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Solution

The fourth proportional to 967.34, 1,334.13 and 734.06 is: 1,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.34 : 1,334.13 = 734.06 : x
  2. Step 2: Convert to fraction form
    967.34/1,334.13 = 734.06/x
  3. Step 3: Cross multiply
    967.34x = 1,334.13 × 734.06
  4. Step 4: Simplify right side
    967.34x = 979,331.47
  5. Step 5: Solve for x
    x = 979,331.47/967.34
  6. Step 6: Final answer
    x = 1,012.40

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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.