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Finding the Fourth Proportional to 1,362.43, 2,043.40 and 582.87

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Solution

The fourth proportional to 1,362.43, 2,043.40 and 582.87 is: 874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.43 : 2,043.40 = 582.87 : x
  2. Step 2: Convert to fraction form
    1,362.43/2,043.40 = 582.87/x
  3. Step 3: Cross multiply
    1,362.43x = 2,043.40 × 582.87
  4. Step 4: Simplify right side
    1,362.43x = 1,191,036.56
  5. Step 5: Solve for x
    x = 1,191,036.56/1,362.43
  6. Step 6: Final answer
    x = 874.20

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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.