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Finding the Fourth Proportional to 885.43, 1,221.95 and 586.16

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Solution

The fourth proportional to 885.43, 1,221.95 and 586.16 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.43 : 1,221.95 = 586.16 : x
  2. Step 2: Convert to fraction form
    885.43/1,221.95 = 586.16/x
  3. Step 3: Cross multiply
    885.43x = 1,221.95 × 586.16
  4. Step 4: Simplify right side
    885.43x = 716,258.21
  5. Step 5: Solve for x
    x = 716,258.21/885.43
  6. Step 6: Final answer
    x = 808.94

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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.