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Finding the Fourth Proportional to 1,192.88, 1,646.36 and 720.83

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Solution

The fourth proportional to 1,192.88, 1,646.36 and 720.83 is: 994.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.88 : 1,646.36 = 720.83 : x
  2. Step 2: Convert to fraction form
    1,192.88/1,646.36 = 720.83/x
  3. Step 3: Cross multiply
    1,192.88x = 1,646.36 × 720.83
  4. Step 4: Simplify right side
    1,192.88x = 1,186,751.55
  5. Step 5: Solve for x
    x = 1,186,751.55/1,192.88
  6. Step 6: Final answer
    x = 994.87

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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.