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Finding the Fourth Proportional to 1,225.37, 1,690.27 and 1,068.39

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Solution

The fourth proportional to 1,225.37, 1,690.27 and 1,068.39 is: 1,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.37 : 1,690.27 = 1,068.39 : x
  2. Step 2: Convert to fraction form
    1,225.37/1,690.27 = 1,068.39/x
  3. Step 3: Cross multiply
    1,225.37x = 1,690.27 × 1,068.39
  4. Step 4: Simplify right side
    1,225.37x = 1,805,864.89
  5. Step 5: Solve for x
    x = 1,805,864.89/1,225.37
  6. Step 6: Final answer
    x = 1,473.73

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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.