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Finding the Fourth Proportional to 1,630.34, 2,446.04 and 706.18

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Solution

The fourth proportional to 1,630.34, 2,446.04 and 706.18 is: 1,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.34 : 2,446.04 = 706.18 : x
  2. Step 2: Convert to fraction form
    1,630.34/2,446.04 = 706.18/x
  3. Step 3: Cross multiply
    1,630.34x = 2,446.04 × 706.18
  4. Step 4: Simplify right side
    1,630.34x = 1,727,344.53
  5. Step 5: Solve for x
    x = 1,727,344.53/1,630.34
  6. Step 6: Final answer
    x = 1,059.50

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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.