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Finding the Fourth Proportional to 1,226.64, 1,693.08 and 853.68

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Solution

The fourth proportional to 1,226.64, 1,693.08 and 853.68 is: 1,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.64 : 1,693.08 = 853.68 : x
  2. Step 2: Convert to fraction form
    1,226.64/1,693.08 = 853.68/x
  3. Step 3: Cross multiply
    1,226.64x = 1,693.08 × 853.68
  4. Step 4: Simplify right side
    1,226.64x = 1,445,348.53
  5. Step 5: Solve for x
    x = 1,445,348.53/1,226.64
  6. Step 6: Final answer
    x = 1,178.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.