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Finding the Fourth Proportional to 1,019.49, 1,406.67 and 621.06

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Solution

The fourth proportional to 1,019.49, 1,406.67 and 621.06 is: 856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.49 : 1,406.67 = 621.06 : x
  2. Step 2: Convert to fraction form
    1,019.49/1,406.67 = 621.06/x
  3. Step 3: Cross multiply
    1,019.49x = 1,406.67 × 621.06
  4. Step 4: Simplify right side
    1,019.49x = 873,626.47
  5. Step 5: Solve for x
    x = 873,626.47/1,019.49
  6. Step 6: Final answer
    x = 856.93

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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.