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Finding the Fourth Proportional to 1,051.26, 1,450.77 and 609.19

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Solution

The fourth proportional to 1,051.26, 1,450.77 and 609.19 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.26 : 1,450.77 = 609.19 : x
  2. Step 2: Convert to fraction form
    1,051.26/1,450.77 = 609.19/x
  3. Step 3: Cross multiply
    1,051.26x = 1,450.77 × 609.19
  4. Step 4: Simplify right side
    1,051.26x = 883,794.58
  5. Step 5: Solve for x
    x = 883,794.58/1,051.26
  6. Step 6: Final answer
    x = 840.70

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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.