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Finding the Fourth Proportional to 934.09, 1,289.06 and 535.74

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Solution

The fourth proportional to 934.09, 1,289.06 and 535.74 is: 739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.09 : 1,289.06 = 535.74 : x
  2. Step 2: Convert to fraction form
    934.09/1,289.06 = 535.74/x
  3. Step 3: Cross multiply
    934.09x = 1,289.06 × 535.74
  4. Step 4: Simplify right side
    934.09x = 690,601.00
  5. Step 5: Solve for x
    x = 690,601.00/934.09
  6. Step 6: Final answer
    x = 739.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.