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Finding the Fourth Proportional to 1,051.43, 1,450.86 and 609.22

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Solution

The fourth proportional to 1,051.43, 1,450.86 and 609.22 is: 840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.43 : 1,450.86 = 609.22 : x
  2. Step 2: Convert to fraction form
    1,051.43/1,450.86 = 609.22/x
  3. Step 3: Cross multiply
    1,051.43x = 1,450.86 × 609.22
  4. Step 4: Simplify right side
    1,051.43x = 883,895.89
  5. Step 5: Solve for x
    x = 883,895.89/1,051.43
  6. Step 6: Final answer
    x = 840.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.