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Finding the Fourth Proportional to 1,210.34, 1,670.46 and 768.44

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Solution

The fourth proportional to 1,210.34, 1,670.46 and 768.44 is: 1,060.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.34 : 1,670.46 = 768.44 : x
  2. Step 2: Convert to fraction form
    1,210.34/1,670.46 = 768.44/x
  3. Step 3: Cross multiply
    1,210.34x = 1,670.46 × 768.44
  4. Step 4: Simplify right side
    1,210.34x = 1,283,648.28
  5. Step 5: Solve for x
    x = 1,283,648.28/1,210.34
  6. Step 6: Final answer
    x = 1,060.57

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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.