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Finding the Fourth Proportional to 1,188.87, 1,783.85 and 603.57

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Solution

The fourth proportional to 1,188.87, 1,783.85 and 603.57 is: 905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.87 : 1,783.85 = 603.57 : x
  2. Step 2: Convert to fraction form
    1,188.87/1,783.85 = 603.57/x
  3. Step 3: Cross multiply
    1,188.87x = 1,783.85 × 603.57
  4. Step 4: Simplify right side
    1,188.87x = 1,076,675.33
  5. Step 5: Solve for x
    x = 1,076,675.33/1,188.87
  6. Step 6: Final answer
    x = 905.63

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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.