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Finding the Fourth Proportional to 1,232.03, 1,847.65 and 410.09

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Solution

The fourth proportional to 1,232.03, 1,847.65 and 410.09 is: 615.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.03 : 1,847.65 = 410.09 : x
  2. Step 2: Convert to fraction form
    1,232.03/1,847.65 = 410.09/x
  3. Step 3: Cross multiply
    1,232.03x = 1,847.65 × 410.09
  4. Step 4: Simplify right side
    1,232.03x = 757,702.79
  5. Step 5: Solve for x
    x = 757,702.79/1,232.03
  6. Step 6: Final answer
    x = 615.00

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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.