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Finding the Fourth Proportional to 1,426.87, 1,969.10 and 788.77

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Solution

The fourth proportional to 1,426.87, 1,969.10 and 788.77 is: 1,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.87 : 1,969.10 = 788.77 : x
  2. Step 2: Convert to fraction form
    1,426.87/1,969.10 = 788.77/x
  3. Step 3: Cross multiply
    1,426.87x = 1,969.10 × 788.77
  4. Step 4: Simplify right side
    1,426.87x = 1,553,167.01
  5. Step 5: Solve for x
    x = 1,553,167.01/1,426.87
  6. Step 6: Final answer
    x = 1,088.51

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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.