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Finding the Fourth Proportional to 1,051.21, 1,450.40 and 701.97

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Solution

The fourth proportional to 1,051.21, 1,450.40 and 701.97 is: 968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.21 : 1,450.40 = 701.97 : x
  2. Step 2: Convert to fraction form
    1,051.21/1,450.40 = 701.97/x
  3. Step 3: Cross multiply
    1,051.21x = 1,450.40 × 701.97
  4. Step 4: Simplify right side
    1,051.21x = 1,018,137.29
  5. Step 5: Solve for x
    x = 1,018,137.29/1,051.21
  6. Step 6: Final answer
    x = 968.54

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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.