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Finding the Fourth Proportional to 1,362.31, 2,041.78 and 777.80

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Solution

The fourth proportional to 1,362.31, 2,041.78 and 777.80 is: 1,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.31 : 2,041.78 = 777.80 : x
  2. Step 2: Convert to fraction form
    1,362.31/2,041.78 = 777.80/x
  3. Step 3: Cross multiply
    1,362.31x = 2,041.78 × 777.80
  4. Step 4: Simplify right side
    1,362.31x = 1,588,096.48
  5. Step 5: Solve for x
    x = 1,588,096.48/1,362.31
  6. Step 6: Final answer
    x = 1,165.74

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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.