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Finding the Fourth Proportional to 1,130.00, 1,694.57 and 389.45

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Solution

The fourth proportional to 1,130.00, 1,694.57 and 389.45 is: 584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.00 : 1,694.57 = 389.45 : x
  2. Step 2: Convert to fraction form
    1,130.00/1,694.57 = 389.45/x
  3. Step 3: Cross multiply
    1,130.00x = 1,694.57 × 389.45
  4. Step 4: Simplify right side
    1,130.00x = 659,939.87
  5. Step 5: Solve for x
    x = 659,939.87/1,130.00
  6. Step 6: Final answer
    x = 584.02

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