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Finding the Fourth Proportional to 910.92, 1,256.71 and 596.09

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Solution

The fourth proportional to 910.92, 1,256.71 and 596.09 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.92 : 1,256.71 = 596.09 : x
  2. Step 2: Convert to fraction form
    910.92/1,256.71 = 596.09/x
  3. Step 3: Cross multiply
    910.92x = 1,256.71 × 596.09
  4. Step 4: Simplify right side
    910.92x = 749,112.26
  5. Step 5: Solve for x
    x = 749,112.26/910.92
  6. Step 6: Final answer
    x = 822.37

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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.