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Finding the Fourth Proportional to 1,256.14, 1,733.16 and 732.07

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Solution

The fourth proportional to 1,256.14, 1,733.16 and 732.07 is: 1,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.14 : 1,733.16 = 732.07 : x
  2. Step 2: Convert to fraction form
    1,256.14/1,733.16 = 732.07/x
  3. Step 3: Cross multiply
    1,256.14x = 1,733.16 × 732.07
  4. Step 4: Simplify right side
    1,256.14x = 1,268,794.44
  5. Step 5: Solve for x
    x = 1,268,794.44/1,256.14
  6. Step 6: Final answer
    x = 1,010.07

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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.