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Finding the Fourth Proportional to 1,210.67, 1,670.69 and 679.58

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Solution

The fourth proportional to 1,210.67, 1,670.69 and 679.58 is: 937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.67 : 1,670.69 = 679.58 : x
  2. Step 2: Convert to fraction form
    1,210.67/1,670.69 = 679.58/x
  3. Step 3: Cross multiply
    1,210.67x = 1,670.69 × 679.58
  4. Step 4: Simplify right side
    1,210.67x = 1,135,360.86
  5. Step 5: Solve for x
    x = 1,135,360.86/1,210.67
  6. Step 6: Final answer
    x = 937.80

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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.