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Finding the Fourth Proportional to 885.65, 1,335.16 and 826.21

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Solution

The fourth proportional to 885.65, 1,335.16 and 826.21 is: 1,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.65 : 1,335.16 = 826.21 : x
  2. Step 2: Convert to fraction form
    885.65/1,335.16 = 826.21/x
  3. Step 3: Cross multiply
    885.65x = 1,335.16 × 826.21
  4. Step 4: Simplify right side
    885.65x = 1,103,117.14
  5. Step 5: Solve for x
    x = 1,103,117.14/885.65
  6. Step 6: Final answer
    x = 1,245.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.