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Finding the Fourth Proportional to 1,300.86, 1,794.96 and 776.93

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Solution

The fourth proportional to 1,300.86, 1,794.96 and 776.93 is: 1,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.86 : 1,794.96 = 776.93 : x
  2. Step 2: Convert to fraction form
    1,300.86/1,794.96 = 776.93/x
  3. Step 3: Cross multiply
    1,300.86x = 1,794.96 × 776.93
  4. Step 4: Simplify right side
    1,300.86x = 1,394,549.30
  5. Step 5: Solve for x
    x = 1,394,549.30/1,300.86
  6. Step 6: Final answer
    x = 1,072.02

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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.