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Finding the Fourth Proportional to 1,191.03, 1,785.11 and 460.14

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Solution

The fourth proportional to 1,191.03, 1,785.11 and 460.14 is: 689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.03 : 1,785.11 = 460.14 : x
  2. Step 2: Convert to fraction form
    1,191.03/1,785.11 = 460.14/x
  3. Step 3: Cross multiply
    1,191.03x = 1,785.11 × 460.14
  4. Step 4: Simplify right side
    1,191.03x = 821,398.21
  5. Step 5: Solve for x
    x = 821,398.21/1,191.03
  6. Step 6: Final answer
    x = 689.65

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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.