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Finding the Fourth Proportional to 790.92, 1,184.08 and 460.85

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Solution

The fourth proportional to 790.92, 1,184.08 and 460.85 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.92 : 1,184.08 = 460.85 : x
  2. Step 2: Convert to fraction form
    790.92/1,184.08 = 460.85/x
  3. Step 3: Cross multiply
    790.92x = 1,184.08 × 460.85
  4. Step 4: Simplify right side
    790.92x = 545,683.27
  5. Step 5: Solve for x
    x = 545,683.27/790.92
  6. Step 6: Final answer
    x = 689.93

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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.