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Finding the Fourth Proportional to 1,225.14, 1,690.78 and 694.02

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Solution

The fourth proportional to 1,225.14, 1,690.78 and 694.02 is: 957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.14 : 1,690.78 = 694.02 : x
  2. Step 2: Convert to fraction form
    1,225.14/1,690.78 = 694.02/x
  3. Step 3: Cross multiply
    1,225.14x = 1,690.78 × 694.02
  4. Step 4: Simplify right side
    1,225.14x = 1,173,433.40
  5. Step 5: Solve for x
    x = 1,173,433.40/1,225.14
  6. Step 6: Final answer
    x = 957.80

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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.