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Finding the Fourth Proportional to 1,186.46, 1,786.59 and 880.48

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Solution

The fourth proportional to 1,186.46, 1,786.59 and 880.48 is: 1,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.46 : 1,786.59 = 880.48 : x
  2. Step 2: Convert to fraction form
    1,186.46/1,786.59 = 880.48/x
  3. Step 3: Cross multiply
    1,186.46x = 1,786.59 × 880.48
  4. Step 4: Simplify right side
    1,186.46x = 1,573,052.36
  5. Step 5: Solve for x
    x = 1,573,052.36/1,186.46
  6. Step 6: Final answer
    x = 1,325.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.