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Finding the Fourth Proportional to 1,706.70, 2,355.22 and 960.66

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Solution

The fourth proportional to 1,706.70, 2,355.22 and 960.66 is: 1,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.70 : 2,355.22 = 960.66 : x
  2. Step 2: Convert to fraction form
    1,706.70/2,355.22 = 960.66/x
  3. Step 3: Cross multiply
    1,706.70x = 2,355.22 × 960.66
  4. Step 4: Simplify right side
    1,706.70x = 2,262,565.65
  5. Step 5: Solve for x
    x = 2,262,565.65/1,706.70
  6. Step 6: Final answer
    x = 1,325.70

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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.