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Finding the Fourth Proportional to 1,190.92, 1,643.06 and 718.64

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Solution

The fourth proportional to 1,190.92, 1,643.06 and 718.64 is: 991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.92 : 1,643.06 = 718.64 : x
  2. Step 2: Convert to fraction form
    1,190.92/1,643.06 = 718.64/x
  3. Step 3: Cross multiply
    1,190.92x = 1,643.06 × 718.64
  4. Step 4: Simplify right side
    1,190.92x = 1,180,768.64
  5. Step 5: Solve for x
    x = 1,180,768.64/1,190.92
  6. Step 6: Final answer
    x = 991.48

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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.