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Finding the Fourth Proportional to 940.00, 1,410.32 and 593.57

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Solution

The fourth proportional to 940.00, 1,410.32 and 593.57 is: 890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.00 : 1,410.32 = 593.57 : x
  2. Step 2: Convert to fraction form
    940.00/1,410.32 = 593.57/x
  3. Step 3: Cross multiply
    940.00x = 1,410.32 × 593.57
  4. Step 4: Simplify right side
    940.00x = 837,128.65
  5. Step 5: Solve for x
    x = 837,128.65/940.00
  6. Step 6: Final answer
    x = 890.56

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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.