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Finding the Fourth Proportional to 1,191.64, 1,786.08 and 460.82

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Solution

The fourth proportional to 1,191.64, 1,786.08 and 460.82 is: 690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.64 : 1,786.08 = 460.82 : x
  2. Step 2: Convert to fraction form
    1,191.64/1,786.08 = 460.82/x
  3. Step 3: Cross multiply
    1,191.64x = 1,786.08 × 460.82
  4. Step 4: Simplify right side
    1,191.64x = 823,061.39
  5. Step 5: Solve for x
    x = 823,061.39/1,191.64
  6. Step 6: Final answer
    x = 690.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.