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Finding the Fourth Proportional to 1,771.64, 2,657.67 and 601.83

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Solution

The fourth proportional to 1,771.64, 2,657.67 and 601.83 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.64 : 2,657.67 = 601.83 : x
  2. Step 2: Convert to fraction form
    1,771.64/2,657.67 = 601.83/x
  3. Step 3: Cross multiply
    1,771.64x = 2,657.67 × 601.83
  4. Step 4: Simplify right side
    1,771.64x = 1,599,465.54
  5. Step 5: Solve for x
    x = 1,599,465.54/1,771.64
  6. Step 6: Final answer
    x = 902.82

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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.