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Finding the Fourth Proportional to 1,021.78, 1,409.84 and 667.75

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Solution

The fourth proportional to 1,021.78, 1,409.84 and 667.75 is: 921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.78 : 1,409.84 = 667.75 : x
  2. Step 2: Convert to fraction form
    1,021.78/1,409.84 = 667.75/x
  3. Step 3: Cross multiply
    1,021.78x = 1,409.84 × 667.75
  4. Step 4: Simplify right side
    1,021.78x = 941,420.66
  5. Step 5: Solve for x
    x = 941,420.66/1,021.78
  6. Step 6: Final answer
    x = 921.35

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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.