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Finding the Fourth Proportional to 885.15, 1,221.57 and 585.88

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Solution

The fourth proportional to 885.15, 1,221.57 and 585.88 is: 808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.15 : 1,221.57 = 585.88 : x
  2. Step 2: Convert to fraction form
    885.15/1,221.57 = 585.88/x
  3. Step 3: Cross multiply
    885.15x = 1,221.57 × 585.88
  4. Step 4: Simplify right side
    885.15x = 715,684.39
  5. Step 5: Solve for x
    x = 715,684.39/885.15
  6. Step 6: Final answer
    x = 808.55

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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.