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Finding the Fourth Proportional to 1,224.68, 1,690.14 and 693.65

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Solution

The fourth proportional to 1,224.68, 1,690.14 and 693.65 is: 957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,690.14 = 693.65 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,690.14 = 693.65/x
  3. Step 3: Cross multiply
    1,224.68x = 1,690.14 × 693.65
  4. Step 4: Simplify right side
    1,224.68x = 1,172,362.14
  5. Step 5: Solve for x
    x = 1,172,362.14/1,224.68
  6. Step 6: Final answer
    x = 957.28

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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.