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Finding the Fourth Proportional to 1,210.52, 1,670.38 and 679.44

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Solution

The fourth proportional to 1,210.52, 1,670.38 and 679.44 is: 937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.52 : 1,670.38 = 679.44 : x
  2. Step 2: Convert to fraction form
    1,210.52/1,670.38 = 679.44/x
  3. Step 3: Cross multiply
    1,210.52x = 1,670.38 × 679.44
  4. Step 4: Simplify right side
    1,210.52x = 1,134,922.99
  5. Step 5: Solve for x
    x = 1,134,922.99/1,210.52
  6. Step 6: Final answer
    x = 937.55

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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.