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Finding the Fourth Proportional to 794.18, 1,190.46 and 307.04

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Solution

The fourth proportional to 794.18, 1,190.46 and 307.04 is: 460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.18 : 1,190.46 = 307.04 : x
  2. Step 2: Convert to fraction form
    794.18/1,190.46 = 307.04/x
  3. Step 3: Cross multiply
    794.18x = 1,190.46 × 307.04
  4. Step 4: Simplify right side
    794.18x = 365,518.84
  5. Step 5: Solve for x
    x = 365,518.84/794.18
  6. Step 6: Final answer
    x = 460.25

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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.