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Finding the Fourth Proportional to 1,424.01, 2,134.56 and 546.28

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Solution

The fourth proportional to 1,424.01, 2,134.56 and 546.28 is: 818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.01 : 2,134.56 = 546.28 : x
  2. Step 2: Convert to fraction form
    1,424.01/2,134.56 = 546.28/x
  3. Step 3: Cross multiply
    1,424.01x = 2,134.56 × 546.28
  4. Step 4: Simplify right side
    1,424.01x = 1,166,054.03
  5. Step 5: Solve for x
    x = 1,166,054.03/1,424.01
  6. Step 6: Final answer
    x = 818.85

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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.