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Finding the Fourth Proportional to 794.30, 1,190.10 and 428.72

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Solution

The fourth proportional to 794.30, 1,190.10 and 428.72 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.30 : 1,190.10 = 428.72 : x
  2. Step 2: Convert to fraction form
    794.30/1,190.10 = 428.72/x
  3. Step 3: Cross multiply
    794.30x = 1,190.10 × 428.72
  4. Step 4: Simplify right side
    794.30x = 510,219.67
  5. Step 5: Solve for x
    x = 510,219.67/794.30
  6. Step 6: Final answer
    x = 642.35

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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.