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Finding the Fourth Proportional to 701.70, 966.14 and 596.58

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Solution

The fourth proportional to 701.70, 966.14 and 596.58 is: 821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.70 : 966.14 = 596.58 : x
  2. Step 2: Convert to fraction form
    701.70/966.14 = 596.58/x
  3. Step 3: Cross multiply
    701.70x = 966.14 × 596.58
  4. Step 4: Simplify right side
    701.70x = 576,379.80
  5. Step 5: Solve for x
    x = 576,379.80/701.70
  6. Step 6: Final answer
    x = 821.40

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1.5x scale

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.