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Finding the Fourth Proportional to 1,210.60, 1,670.34 and 768.61

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Solution

The fourth proportional to 1,210.60, 1,670.34 and 768.61 is: 1,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.60 : 1,670.34 = 768.61 : x
  2. Step 2: Convert to fraction form
    1,210.60/1,670.34 = 768.61/x
  3. Step 3: Cross multiply
    1,210.60x = 1,670.34 × 768.61
  4. Step 4: Simplify right side
    1,210.60x = 1,283,840.03
  5. Step 5: Solve for x
    x = 1,283,840.03/1,210.60
  6. Step 6: Final answer
    x = 1,060.50

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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.