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Finding the Fourth Proportional to 1,220.66, 1,684.53 and 696.69

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Solution

The fourth proportional to 1,220.66, 1,684.53 and 696.69 is: 961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.66 : 1,684.53 = 696.69 : x
  2. Step 2: Convert to fraction form
    1,220.66/1,684.53 = 696.69/x
  3. Step 3: Cross multiply
    1,220.66x = 1,684.53 × 696.69
  4. Step 4: Simplify right side
    1,220.66x = 1,173,595.21
  5. Step 5: Solve for x
    x = 1,173,595.21/1,220.66
  6. Step 6: Final answer
    x = 961.44

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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.