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Finding the Fourth Proportional to 1,546.77, 2,320.53 and 451.14

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Solution

The fourth proportional to 1,546.77, 2,320.53 and 451.14 is: 676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.77 : 2,320.53 = 451.14 : x
  2. Step 2: Convert to fraction form
    1,546.77/2,320.53 = 451.14/x
  3. Step 3: Cross multiply
    1,546.77x = 2,320.53 × 451.14
  4. Step 4: Simplify right side
    1,546.77x = 1,046,883.90
  5. Step 5: Solve for x
    x = 1,046,883.90/1,546.77
  6. Step 6: Final answer
    x = 676.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.