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Finding the Fourth Proportional to 1,365.81, 2,048.31 and 500.19

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Solution

The fourth proportional to 1,365.81, 2,048.31 and 500.19 is: 750.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.81 : 2,048.31 = 500.19 : x
  2. Step 2: Convert to fraction form
    1,365.81/2,048.31 = 500.19/x
  3. Step 3: Cross multiply
    1,365.81x = 2,048.31 × 500.19
  4. Step 4: Simplify right side
    1,365.81x = 1,024,544.18
  5. Step 5: Solve for x
    x = 1,024,544.18/1,365.81
  6. Step 6: Final answer
    x = 750.14

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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.