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Finding the Fourth Proportional to 1,230.46, 1,845.60 and 460.42

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Solution

The fourth proportional to 1,230.46, 1,845.60 and 460.42 is: 690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.46 : 1,845.60 = 460.42 : x
  2. Step 2: Convert to fraction form
    1,230.46/1,845.60 = 460.42/x
  3. Step 3: Cross multiply
    1,230.46x = 1,845.60 × 460.42
  4. Step 4: Simplify right side
    1,230.46x = 849,751.15
  5. Step 5: Solve for x
    x = 849,751.15/1,230.46
  6. Step 6: Final answer
    x = 690.60

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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.