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Finding the Fourth Proportional to 1,191, 1,785.74 and 459.70

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Solution

The fourth proportional to 1,191, 1,785.74 and 459.70 is: 689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191 : 1,785.74 = 459.70 : x
  2. Step 2: Convert to fraction form
    1,191/1,785.74 = 459.70/x
  3. Step 3: Cross multiply
    1,191x = 1,785.74 × 459.70
  4. Step 4: Simplify right side
    1,191x = 820,904.68
  5. Step 5: Solve for x
    x = 820,904.68/1,191
  6. Step 6: Final answer
    x = 689.26

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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.