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Finding the Fourth Proportional to 1,041.53, 1,561.41 and 493.56

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Solution

The fourth proportional to 1,041.53, 1,561.41 and 493.56 is: 739.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.53 : 1,561.41 = 493.56 : x
  2. Step 2: Convert to fraction form
    1,041.53/1,561.41 = 493.56/x
  3. Step 3: Cross multiply
    1,041.53x = 1,561.41 × 493.56
  4. Step 4: Simplify right side
    1,041.53x = 770,649.52
  5. Step 5: Solve for x
    x = 770,649.52/1,041.53
  6. Step 6: Final answer
    x = 739.92

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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.