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Finding the Fourth Proportional to 1,219.63, 1,829.85 and 397.93

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Solution

The fourth proportional to 1,219.63, 1,829.85 and 397.93 is: 597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.63 : 1,829.85 = 397.93 : x
  2. Step 2: Convert to fraction form
    1,219.63/1,829.85 = 397.93/x
  3. Step 3: Cross multiply
    1,219.63x = 1,829.85 × 397.93
  4. Step 4: Simplify right side
    1,219.63x = 728,152.21
  5. Step 5: Solve for x
    x = 728,152.21/1,219.63
  6. Step 6: Final answer
    x = 597.03

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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.