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Finding the Fourth Proportional to 1,192.81, 1,645.98 and 668.74

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Solution

The fourth proportional to 1,192.81, 1,645.98 and 668.74 is: 922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.81 : 1,645.98 = 668.74 : x
  2. Step 2: Convert to fraction form
    1,192.81/1,645.98 = 668.74/x
  3. Step 3: Cross multiply
    1,192.81x = 1,645.98 × 668.74
  4. Step 4: Simplify right side
    1,192.81x = 1,100,728.55
  5. Step 5: Solve for x
    x = 1,100,728.55/1,192.81
  6. Step 6: Final answer
    x = 922.80

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1.5x scale

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.