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Finding the Fourth Proportional to 1,051.09, 1,450.38 and 631.36

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Solution

The fourth proportional to 1,051.09, 1,450.38 and 631.36 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.09 : 1,450.38 = 631.36 : x
  2. Step 2: Convert to fraction form
    1,051.09/1,450.38 = 631.36/x
  3. Step 3: Cross multiply
    1,051.09x = 1,450.38 × 631.36
  4. Step 4: Simplify right side
    1,051.09x = 915,704.66
  5. Step 5: Solve for x
    x = 915,704.66/1,051.09
  6. Step 6: Final answer
    x = 871.20

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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.