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Finding the Fourth Proportional to 885.45, 1,323.09 and 676.07

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Solution

The fourth proportional to 885.45, 1,323.09 and 676.07 is: 1,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.45 : 1,323.09 = 676.07 : x
  2. Step 2: Convert to fraction form
    885.45/1,323.09 = 676.07/x
  3. Step 3: Cross multiply
    885.45x = 1,323.09 × 676.07
  4. Step 4: Simplify right side
    885.45x = 894,501.46
  5. Step 5: Solve for x
    x = 894,501.46/885.45
  6. Step 6: Final answer
    x = 1,010.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.