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Finding the Fourth Proportional to 910.26, 1,255.77 and 595.42

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Solution

The fourth proportional to 910.26, 1,255.77 and 595.42 is: 821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.26 : 1,255.77 = 595.42 : x
  2. Step 2: Convert to fraction form
    910.26/1,255.77 = 595.42/x
  3. Step 3: Cross multiply
    910.26x = 1,255.77 × 595.42
  4. Step 4: Simplify right side
    910.26x = 747,707.43
  5. Step 5: Solve for x
    x = 747,707.43/910.26
  6. Step 6: Final answer
    x = 821.42

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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.