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Finding the Fourth Proportional to 1,365.13, 2,047.41 and 391.01

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Solution

The fourth proportional to 1,365.13, 2,047.41 and 391.01 is: 586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.13 : 2,047.41 = 391.01 : x
  2. Step 2: Convert to fraction form
    1,365.13/2,047.41 = 391.01/x
  3. Step 3: Cross multiply
    1,365.13x = 2,047.41 × 391.01
  4. Step 4: Simplify right side
    1,365.13x = 800,562.90
  5. Step 5: Solve for x
    x = 800,562.90/1,365.13
  6. Step 6: Final answer
    x = 586.44

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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.