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Finding the Fourth Proportional to 1,230.65, 1,698.27 and 678.65

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Solution

The fourth proportional to 1,230.65, 1,698.27 and 678.65 is: 936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.65 : 1,698.27 = 678.65 : x
  2. Step 2: Convert to fraction form
    1,230.65/1,698.27 = 678.65/x
  3. Step 3: Cross multiply
    1,230.65x = 1,698.27 × 678.65
  4. Step 4: Simplify right side
    1,230.65x = 1,152,530.94
  5. Step 5: Solve for x
    x = 1,152,530.94/1,230.65
  6. Step 6: Final answer
    x = 936.52

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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.