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Finding the Fourth Proportional to 1,706.68, 2,355.27 and 960.60

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Solution

The fourth proportional to 1,706.68, 2,355.27 and 960.60 is: 1,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.68 : 2,355.27 = 960.60 : x
  2. Step 2: Convert to fraction form
    1,706.68/2,355.27 = 960.60/x
  3. Step 3: Cross multiply
    1,706.68x = 2,355.27 × 960.60
  4. Step 4: Simplify right side
    1,706.68x = 2,262,472.36
  5. Step 5: Solve for x
    x = 2,262,472.36/1,706.68
  6. Step 6: Final answer
    x = 1,325.66

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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.