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Finding the Fourth Proportional to 1,021.50, 1,406.55 and 873.81

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Solution

The fourth proportional to 1,021.50, 1,406.55 and 873.81 is: 1,203.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.50 : 1,406.55 = 873.81 : x
  2. Step 2: Convert to fraction form
    1,021.50/1,406.55 = 873.81/x
  3. Step 3: Cross multiply
    1,021.50x = 1,406.55 × 873.81
  4. Step 4: Simplify right side
    1,021.50x = 1,229,057.46
  5. Step 5: Solve for x
    x = 1,229,057.46/1,021.50
  6. Step 6: Final answer
    x = 1,203.19

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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.