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Finding the Fourth Proportional to 908.82, 1,253.77 and 590.26

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Solution

The fourth proportional to 908.82, 1,253.77 and 590.26 is: 814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.82 : 1,253.77 = 590.26 : x
  2. Step 2: Convert to fraction form
    908.82/1,253.77 = 590.26/x
  3. Step 3: Cross multiply
    908.82x = 1,253.77 × 590.26
  4. Step 4: Simplify right side
    908.82x = 740,050.72
  5. Step 5: Solve for x
    x = 740,050.72/908.82
  6. Step 6: Final answer
    x = 814.30

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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.