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Finding the Fourth Proportional to 1,021.82, 1,409.98 and 648.14

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Solution

The fourth proportional to 1,021.82, 1,409.98 and 648.14 is: 894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.82 : 1,409.98 = 648.14 : x
  2. Step 2: Convert to fraction form
    1,021.82/1,409.98 = 648.14/x
  3. Step 3: Cross multiply
    1,021.82x = 1,409.98 × 648.14
  4. Step 4: Simplify right side
    1,021.82x = 913,864.44
  5. Step 5: Solve for x
    x = 913,864.44/1,021.82
  6. Step 6: Final answer
    x = 894.35

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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.