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Finding the Fourth Proportional to 1,225.14, 1,690.56 and 693.95

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Solution

The fourth proportional to 1,225.14, 1,690.56 and 693.95 is: 957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.14 : 1,690.56 = 693.95 : x
  2. Step 2: Convert to fraction form
    1,225.14/1,690.56 = 693.95/x
  3. Step 3: Cross multiply
    1,225.14x = 1,690.56 × 693.95
  4. Step 4: Simplify right side
    1,225.14x = 1,173,171.32
  5. Step 5: Solve for x
    x = 1,173,171.32/1,225.14
  6. Step 6: Final answer
    x = 957.58

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