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Finding the Fourth Proportional to 1,020.34, 1,408.04 and 578.20

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Solution

The fourth proportional to 1,020.34, 1,408.04 and 578.20 is: 797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.34 : 1,408.04 = 578.20 : x
  2. Step 2: Convert to fraction form
    1,020.34/1,408.04 = 578.20/x
  3. Step 3: Cross multiply
    1,020.34x = 1,408.04 × 578.20
  4. Step 4: Simplify right side
    1,020.34x = 814,128.73
  5. Step 5: Solve for x
    x = 814,128.73/1,020.34
  6. Step 6: Final answer
    x = 797.90

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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.