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Finding the Fourth Proportional to 1,195.34, 1,648.48 and 821.72

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Solution

The fourth proportional to 1,195.34, 1,648.48 and 821.72 is: 1,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.34 : 1,648.48 = 821.72 : x
  2. Step 2: Convert to fraction form
    1,195.34/1,648.48 = 821.72/x
  3. Step 3: Cross multiply
    1,195.34x = 1,648.48 × 821.72
  4. Step 4: Simplify right side
    1,195.34x = 1,354,588.99
  5. Step 5: Solve for x
    x = 1,354,588.99/1,195.34
  6. Step 6: Final answer
    x = 1,133.22

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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.