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Finding the Fourth Proportional to 885.48, 1,221.42 and 586.71

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Solution

The fourth proportional to 885.48, 1,221.42 and 586.71 is: 809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.48 : 1,221.42 = 586.71 : x
  2. Step 2: Convert to fraction form
    885.48/1,221.42 = 586.71/x
  3. Step 3: Cross multiply
    885.48x = 1,221.42 × 586.71
  4. Step 4: Simplify right side
    885.48x = 716,619.33
  5. Step 5: Solve for x
    x = 716,619.33/885.48
  6. Step 6: Final answer
    x = 809.30

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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.