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Finding the Fourth Proportional to 1,021.41, 1,409.29 and 648.25

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Solution

The fourth proportional to 1,021.41, 1,409.29 and 648.25 is: 894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.41 : 1,409.29 = 648.25 : x
  2. Step 2: Convert to fraction form
    1,021.41/1,409.29 = 648.25/x
  3. Step 3: Cross multiply
    1,021.41x = 1,409.29 × 648.25
  4. Step 4: Simplify right side
    1,021.41x = 913,572.24
  5. Step 5: Solve for x
    x = 913,572.24/1,021.41
  6. Step 6: Final answer
    x = 894.43

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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.