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Finding the Fourth Proportional to 940.59, 1,411.13 and 596.37

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Solution

The fourth proportional to 940.59, 1,411.13 and 596.37 is: 894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.59 : 1,411.13 = 596.37 : x
  2. Step 2: Convert to fraction form
    940.59/1,411.13 = 596.37/x
  3. Step 3: Cross multiply
    940.59x = 1,411.13 × 596.37
  4. Step 4: Simplify right side
    940.59x = 841,552.62
  5. Step 5: Solve for x
    x = 841,552.62/940.59
  6. Step 6: Final answer
    x = 894.71

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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.