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Finding the Fourth Proportional to 1,256.04, 1,733.42 and 696.60

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Solution

The fourth proportional to 1,256.04, 1,733.42 and 696.60 is: 961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.04 : 1,733.42 = 696.60 : x
  2. Step 2: Convert to fraction form
    1,256.04/1,733.42 = 696.60/x
  3. Step 3: Cross multiply
    1,256.04x = 1,733.42 × 696.60
  4. Step 4: Simplify right side
    1,256.04x = 1,207,500.37
  5. Step 5: Solve for x
    x = 1,207,500.37/1,256.04
  6. Step 6: Final answer
    x = 961.36

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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.