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Finding the Fourth Proportional to 945.85, 1,306.36 and 630.59

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Solution

The fourth proportional to 945.85, 1,306.36 and 630.59 is: 870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.85 : 1,306.36 = 630.59 : x
  2. Step 2: Convert to fraction form
    945.85/1,306.36 = 630.59/x
  3. Step 3: Cross multiply
    945.85x = 1,306.36 × 630.59
  4. Step 4: Simplify right side
    945.85x = 823,777.55
  5. Step 5: Solve for x
    x = 823,777.55/945.85
  6. Step 6: Final answer
    x = 870.94

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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.