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Finding the Fourth Proportional to 1,022.87, 1,533.09 and 713.05

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Solution

The fourth proportional to 1,022.87, 1,533.09 and 713.05 is: 1,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.87 : 1,533.09 = 713.05 : x
  2. Step 2: Convert to fraction form
    1,022.87/1,533.09 = 713.05/x
  3. Step 3: Cross multiply
    1,022.87x = 1,533.09 × 713.05
  4. Step 4: Simplify right side
    1,022.87x = 1,093,165.99
  5. Step 5: Solve for x
    x = 1,093,165.99/1,022.87
  6. Step 6: Final answer
    x = 1,068.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.