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Finding the Fourth Proportional to 1,028.70, 1,417.56 and 733.14

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Solution

The fourth proportional to 1,028.70, 1,417.56 and 733.14 is: 1,010.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.70 : 1,417.56 = 733.14 : x
  2. Step 2: Convert to fraction form
    1,028.70/1,417.56 = 733.14/x
  3. Step 3: Cross multiply
    1,028.70x = 1,417.56 × 733.14
  4. Step 4: Simplify right side
    1,028.70x = 1,039,269.94
  5. Step 5: Solve for x
    x = 1,039,269.94/1,028.70
  6. Step 6: Final answer
    x = 1,010.28

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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.