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Finding the Fourth Proportional to 910.95, 1,257.53 and 596.22

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Solution

The fourth proportional to 910.95, 1,257.53 and 596.22 is: 823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.95 : 1,257.53 = 596.22 : x
  2. Step 2: Convert to fraction form
    910.95/1,257.53 = 596.22/x
  3. Step 3: Cross multiply
    910.95x = 1,257.53 × 596.22
  4. Step 4: Simplify right side
    910.95x = 749,765.68
  5. Step 5: Solve for x
    x = 749,765.68/910.95
  6. Step 6: Final answer
    x = 823.06

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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.