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Finding the Fourth Proportional to 1,281.34, 1,920.66 and 630.73

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Solution

The fourth proportional to 1,281.34, 1,920.66 and 630.73 is: 945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.34 : 1,920.66 = 630.73 : x
  2. Step 2: Convert to fraction form
    1,281.34/1,920.66 = 630.73/x
  3. Step 3: Cross multiply
    1,281.34x = 1,920.66 × 630.73
  4. Step 4: Simplify right side
    1,281.34x = 1,211,417.88
  5. Step 5: Solve for x
    x = 1,211,417.88/1,281.34
  6. Step 6: Final answer
    x = 945.43

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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.