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Finding the Fourth Proportional to 964.46, 1,445.34 and 690.68

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Solution

The fourth proportional to 964.46, 1,445.34 and 690.68 is: 1,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.46 : 1,445.34 = 690.68 : x
  2. Step 2: Convert to fraction form
    964.46/1,445.34 = 690.68/x
  3. Step 3: Cross multiply
    964.46x = 1,445.34 × 690.68
  4. Step 4: Simplify right side
    964.46x = 998,267.43
  5. Step 5: Solve for x
    x = 998,267.43/964.46
  6. Step 6: Final answer
    x = 1,035.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.