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Finding the Fourth Proportional to 1,020.89, 1,408.84 and 555.14

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Solution

The fourth proportional to 1,020.89, 1,408.84 and 555.14 is: 766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.89 : 1,408.84 = 555.14 : x
  2. Step 2: Convert to fraction form
    1,020.89/1,408.84 = 555.14/x
  3. Step 3: Cross multiply
    1,020.89x = 1,408.84 × 555.14
  4. Step 4: Simplify right side
    1,020.89x = 782,105.57
  5. Step 5: Solve for x
    x = 782,105.57/1,020.89
  6. Step 6: Final answer
    x = 766.10

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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.