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Finding the Fourth Proportional to 1,369.25, 2,054.38 and 783.89

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Solution

The fourth proportional to 1,369.25, 2,054.38 and 783.89 is: 1,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.25 : 2,054.38 = 783.89 : x
  2. Step 2: Convert to fraction form
    1,369.25/2,054.38 = 783.89/x
  3. Step 3: Cross multiply
    1,369.25x = 2,054.38 × 783.89
  4. Step 4: Simplify right side
    1,369.25x = 1,610,407.94
  5. Step 5: Solve for x
    x = 1,610,407.94/1,369.25
  6. Step 6: Final answer
    x = 1,176.12

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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.