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Finding the Fourth Proportional to 1,190.64, 1,643.11 and 666.67

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Solution

The fourth proportional to 1,190.64, 1,643.11 and 666.67 is: 920.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.64 : 1,643.11 = 666.67 : x
  2. Step 2: Convert to fraction form
    1,190.64/1,643.11 = 666.67/x
  3. Step 3: Cross multiply
    1,190.64x = 1,643.11 × 666.67
  4. Step 4: Simplify right side
    1,190.64x = 1,095,408.81
  5. Step 5: Solve for x
    x = 1,095,408.81/1,190.64
  6. Step 6: Final answer
    x = 920.02

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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.