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Finding the Fourth Proportional to 1,216.74, 1,679.47 and 1,052.72

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Solution

The fourth proportional to 1,216.74, 1,679.47 and 1,052.72 is: 1,453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.74 : 1,679.47 = 1,052.72 : x
  2. Step 2: Convert to fraction form
    1,216.74/1,679.47 = 1,052.72/x
  3. Step 3: Cross multiply
    1,216.74x = 1,679.47 × 1,052.72
  4. Step 4: Simplify right side
    1,216.74x = 1,768,005.16
  5. Step 5: Solve for x
    x = 1,768,005.16/1,216.74
  6. Step 6: Final answer
    x = 1,453.07

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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.