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Finding the Fourth Proportional to 1,051.25, 1,573.68 and 844.09

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Solution

The fourth proportional to 1,051.25, 1,573.68 and 844.09 is: 1,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.25 : 1,573.68 = 844.09 : x
  2. Step 2: Convert to fraction form
    1,051.25/1,573.68 = 844.09/x
  3. Step 3: Cross multiply
    1,051.25x = 1,573.68 × 844.09
  4. Step 4: Simplify right side
    1,051.25x = 1,328,322.03
  5. Step 5: Solve for x
    x = 1,328,322.03/1,051.25
  6. Step 6: Final answer
    x = 1,263.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.