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Finding the Fourth Proportional to 1,048.85, 1,448.71 and 768.65

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Solution

The fourth proportional to 1,048.85, 1,448.71 and 768.65 is: 1,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.85 : 1,448.71 = 768.65 : x
  2. Step 2: Convert to fraction form
    1,048.85/1,448.71 = 768.65/x
  3. Step 3: Cross multiply
    1,048.85x = 1,448.71 × 768.65
  4. Step 4: Simplify right side
    1,048.85x = 1,113,550.94
  5. Step 5: Solve for x
    x = 1,113,550.94/1,048.85
  6. Step 6: Final answer
    x = 1,061.69

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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.