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Finding the Fourth Proportional to 967.34, 1,333.46 and 757.05

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Solution

The fourth proportional to 967.34, 1,333.46 and 757.05 is: 1,043.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.34 : 1,333.46 = 757.05 : x
  2. Step 2: Convert to fraction form
    967.34/1,333.46 = 757.05/x
  3. Step 3: Cross multiply
    967.34x = 1,333.46 × 757.05
  4. Step 4: Simplify right side
    967.34x = 1,009,492.79
  5. Step 5: Solve for x
    x = 1,009,492.79/967.34
  6. Step 6: Final answer
    x = 1,043.57

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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.