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Finding the Fourth Proportional to 1,021.91, 1,409.63 and 643.19

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Solution

The fourth proportional to 1,021.91, 1,409.63 and 643.19 is: 887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.91 : 1,409.63 = 643.19 : x
  2. Step 2: Convert to fraction form
    1,021.91/1,409.63 = 643.19/x
  3. Step 3: Cross multiply
    1,021.91x = 1,409.63 × 643.19
  4. Step 4: Simplify right side
    1,021.91x = 906,649.66
  5. Step 5: Solve for x
    x = 906,649.66/1,021.91
  6. Step 6: Final answer
    x = 887.22

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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.