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Finding the Fourth Proportional to 1,468.94, 2,202.86 and 428.67

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Solution

The fourth proportional to 1,468.94, 2,202.86 and 428.67 is: 642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.94 : 2,202.86 = 428.67 : x
  2. Step 2: Convert to fraction form
    1,468.94/2,202.86 = 428.67/x
  3. Step 3: Cross multiply
    1,468.94x = 2,202.86 × 428.67
  4. Step 4: Simplify right side
    1,468.94x = 944,301.07
  5. Step 5: Solve for x
    x = 944,301.07/1,468.94
  6. Step 6: Final answer
    x = 642.85

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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.