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Finding the Fourth Proportional to 939.58, 1,409.93 and 523.46

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Solution

The fourth proportional to 939.58, 1,409.93 and 523.46 is: 785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.58 : 1,409.93 = 523.46 : x
  2. Step 2: Convert to fraction form
    939.58/1,409.93 = 523.46/x
  3. Step 3: Cross multiply
    939.58x = 1,409.93 × 523.46
  4. Step 4: Simplify right side
    939.58x = 738,041.96
  5. Step 5: Solve for x
    x = 738,041.96/939.58
  6. Step 6: Final answer
    x = 785.50

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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.