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Finding the Fourth Proportional to 1,225.07, 1,690.62 and 693.97

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Solution

The fourth proportional to 1,225.07, 1,690.62 and 693.97 is: 957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.07 : 1,690.62 = 693.97 : x
  2. Step 2: Convert to fraction form
    1,225.07/1,690.62 = 693.97/x
  3. Step 3: Cross multiply
    1,225.07x = 1,690.62 × 693.97
  4. Step 4: Simplify right side
    1,225.07x = 1,173,239.56
  5. Step 5: Solve for x
    x = 1,173,239.56/1,225.07
  6. Step 6: Final answer
    x = 957.69

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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.