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Finding the Fourth Proportional to 926.95, 1,382.61 and 788.44

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Solution

The fourth proportional to 926.95, 1,382.61 and 788.44 is: 1,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.95 : 1,382.61 = 788.44 : x
  2. Step 2: Convert to fraction form
    926.95/1,382.61 = 788.44/x
  3. Step 3: Cross multiply
    926.95x = 1,382.61 × 788.44
  4. Step 4: Simplify right side
    926.95x = 1,090,105.03
  5. Step 5: Solve for x
    x = 1,090,105.03/926.95
  6. Step 6: Final answer
    x = 1,176.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.