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Finding the Fourth Proportional to 1,361.95, 2,041.80 and 582.55

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Solution

The fourth proportional to 1,361.95, 2,041.80 and 582.55 is: 873.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.95 : 2,041.80 = 582.55 : x
  2. Step 2: Convert to fraction form
    1,361.95/2,041.80 = 582.55/x
  3. Step 3: Cross multiply
    1,361.95x = 2,041.80 × 582.55
  4. Step 4: Simplify right side
    1,361.95x = 1,189,450.59
  5. Step 5: Solve for x
    x = 1,189,450.59/1,361.95
  6. Step 6: Final answer
    x = 873.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.