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Finding the Fourth Proportional to 1,107.24, 1,526.04 and 873.96

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Solution

The fourth proportional to 1,107.24, 1,526.04 and 873.96 is: 1,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.24 : 1,526.04 = 873.96 : x
  2. Step 2: Convert to fraction form
    1,107.24/1,526.04 = 873.96/x
  3. Step 3: Cross multiply
    1,107.24x = 1,526.04 × 873.96
  4. Step 4: Simplify right side
    1,107.24x = 1,333,697.92
  5. Step 5: Solve for x
    x = 1,333,697.92/1,107.24
  6. Step 6: Final answer
    x = 1,204.52

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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.