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Finding the Fourth Proportional to 885.09, 1,221.78 and 590.25

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Solution

The fourth proportional to 885.09, 1,221.78 and 590.25 is: 814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.09 : 1,221.78 = 590.25 : x
  2. Step 2: Convert to fraction form
    885.09/1,221.78 = 590.25/x
  3. Step 3: Cross multiply
    885.09x = 1,221.78 × 590.25
  4. Step 4: Simplify right side
    885.09x = 721,155.65
  5. Step 5: Solve for x
    x = 721,155.65/885.09
  6. Step 6: Final answer
    x = 814.78

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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.