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Finding the Fourth Proportional to 1,019.67, 1,406.73 and 621.20

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Solution

The fourth proportional to 1,019.67, 1,406.73 and 621.20 is: 857.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.67 : 1,406.73 = 621.20 : x
  2. Step 2: Convert to fraction form
    1,019.67/1,406.73 = 621.20/x
  3. Step 3: Cross multiply
    1,019.67x = 1,406.73 × 621.20
  4. Step 4: Simplify right side
    1,019.67x = 873,853.64
  5. Step 5: Solve for x
    x = 873,853.64/1,019.67
  6. Step 6: Final answer
    x = 857.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.