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Finding the Fourth Proportional to 1,190.85, 1,643.44 and 693.46

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Solution

The fourth proportional to 1,190.85, 1,643.44 and 693.46 is: 957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.85 : 1,643.44 = 693.46 : x
  2. Step 2: Convert to fraction form
    1,190.85/1,643.44 = 693.46/x
  3. Step 3: Cross multiply
    1,190.85x = 1,643.44 × 693.46
  4. Step 4: Simplify right side
    1,190.85x = 1,139,661.52
  5. Step 5: Solve for x
    x = 1,139,661.52/1,190.85
  6. Step 6: Final answer
    x = 957.01

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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.