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Finding the Fourth Proportional to 1,041.75, 1,563.21 and 464.67

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Solution

The fourth proportional to 1,041.75, 1,563.21 and 464.67 is: 697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.75 : 1,563.21 = 464.67 : x
  2. Step 2: Convert to fraction form
    1,041.75/1,563.21 = 464.67/x
  3. Step 3: Cross multiply
    1,041.75x = 1,563.21 × 464.67
  4. Step 4: Simplify right side
    1,041.75x = 726,376.79
  5. Step 5: Solve for x
    x = 726,376.79/1,041.75
  6. Step 6: Final answer
    x = 697.27

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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.