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Finding the Fourth Proportional to 1,225.65, 1,690.81 and 1,178.52

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Solution

The fourth proportional to 1,225.65, 1,690.81 and 1,178.52 is: 1,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.65 : 1,690.81 = 1,178.52 : x
  2. Step 2: Convert to fraction form
    1,225.65/1,690.81 = 1,178.52/x
  3. Step 3: Cross multiply
    1,225.65x = 1,690.81 × 1,178.52
  4. Step 4: Simplify right side
    1,225.65x = 1,992,653.40
  5. Step 5: Solve for x
    x = 1,992,653.40/1,225.65
  6. Step 6: Final answer
    x = 1,625.79

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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.