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Finding the Fourth Proportional to 1,044.16, 1,566.25 and 838.22

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Solution

The fourth proportional to 1,044.16, 1,566.25 and 838.22 is: 1,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.16 : 1,566.25 = 838.22 : x
  2. Step 2: Convert to fraction form
    1,044.16/1,566.25 = 838.22/x
  3. Step 3: Cross multiply
    1,044.16x = 1,566.25 × 838.22
  4. Step 4: Simplify right side
    1,044.16x = 1,312,852.15
  5. Step 5: Solve for x
    x = 1,312,852.15/1,044.16
  6. Step 6: Final answer
    x = 1,257.33

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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.