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Finding the Fourth Proportional to 1,020.29, 1,408 and 554.54

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Solution

The fourth proportional to 1,020.29, 1,408 and 554.54 is: 765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.29 : 1,408 = 554.54 : x
  2. Step 2: Convert to fraction form
    1,020.29/1,408 = 554.54/x
  3. Step 3: Cross multiply
    1,020.29x = 1,408 × 554.54
  4. Step 4: Simplify right side
    1,020.29x = 780,792.32
  5. Step 5: Solve for x
    x = 780,792.32/1,020.29
  6. Step 6: Final answer
    x = 765.27

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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.