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Finding the Fourth Proportional to 1,199.10, 1,796.90 and 853.10

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Solution

The fourth proportional to 1,199.10, 1,796.90 and 853.10 is: 1,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.10 : 1,796.90 = 853.10 : x
  2. Step 2: Convert to fraction form
    1,199.10/1,796.90 = 853.10/x
  3. Step 3: Cross multiply
    1,199.10x = 1,796.90 × 853.10
  4. Step 4: Simplify right side
    1,199.10x = 1,532,931.12
  5. Step 5: Solve for x
    x = 1,532,931.12/1,199.10
  6. Step 6: Final answer
    x = 1,278.40

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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.