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Finding the Fourth Proportional to 940.22, 1,410.56 and 596.00

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Solution

The fourth proportional to 940.22, 1,410.56 and 596.00 is: 894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.22 : 1,410.56 = 596.00 : x
  2. Step 2: Convert to fraction form
    940.22/1,410.56 = 596.00/x
  3. Step 3: Cross multiply
    940.22x = 1,410.56 × 596.00
  4. Step 4: Simplify right side
    940.22x = 840,688.20
  5. Step 5: Solve for x
    x = 840,688.20/940.22
  6. Step 6: Final answer
    x = 894.14

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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.