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Finding the Fourth Proportional to 1,186.52, 1,636.80 and 794.12

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Solution

The fourth proportional to 1,186.52, 1,636.80 and 794.12 is: 1,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.52 : 1,636.80 = 794.12 : x
  2. Step 2: Convert to fraction form
    1,186.52/1,636.80 = 794.12/x
  3. Step 3: Cross multiply
    1,186.52x = 1,636.80 × 794.12
  4. Step 4: Simplify right side
    1,186.52x = 1,299,815.62
  5. Step 5: Solve for x
    x = 1,299,815.62/1,186.52
  6. Step 6: Final answer
    x = 1,095.49

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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.