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Finding the Fourth Proportional to 1,020.04, 1,408.24 and 740

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Solution

The fourth proportional to 1,020.04, 1,408.24 and 740 is: 1,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.04 : 1,408.24 = 740 : x
  2. Step 2: Convert to fraction form
    1,020.04/1,408.24 = 740/x
  3. Step 3: Cross multiply
    1,020.04x = 1,408.24 × 740
  4. Step 4: Simplify right side
    1,020.04x = 1,042,097.60
  5. Step 5: Solve for x
    x = 1,042,097.60/1,020.04
  6. Step 6: Final answer
    x = 1,021.62

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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.