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Finding the Fourth Proportional to 1,028.74, 1,535.70 and 955.84

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Solution

The fourth proportional to 1,028.74, 1,535.70 and 955.84 is: 1,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.74 : 1,535.70 = 955.84 : x
  2. Step 2: Convert to fraction form
    1,028.74/1,535.70 = 955.84/x
  3. Step 3: Cross multiply
    1,028.74x = 1,535.70 × 955.84
  4. Step 4: Simplify right side
    1,028.74x = 1,467,883.49
  5. Step 5: Solve for x
    x = 1,467,883.49/1,028.74
  6. Step 6: Final answer
    x = 1,426.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.