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Finding the Fourth Proportional to 1,220.72, 1,684.55 and 696.65

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Solution

The fourth proportional to 1,220.72, 1,684.55 and 696.65 is: 961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.72 : 1,684.55 = 696.65 : x
  2. Step 2: Convert to fraction form
    1,220.72/1,684.55 = 696.65/x
  3. Step 3: Cross multiply
    1,220.72x = 1,684.55 × 696.65
  4. Step 4: Simplify right side
    1,220.72x = 1,173,541.76
  5. Step 5: Solve for x
    x = 1,173,541.76/1,220.72
  6. Step 6: Final answer
    x = 961.35

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Half scale
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Double scale
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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.