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Finding the Fourth Proportional to 1,020.76, 1,408.66 and 578.68

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Solution

The fourth proportional to 1,020.76, 1,408.66 and 578.68 is: 798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.76 : 1,408.66 = 578.68 : x
  2. Step 2: Convert to fraction form
    1,020.76/1,408.66 = 578.68/x
  3. Step 3: Cross multiply
    1,020.76x = 1,408.66 × 578.68
  4. Step 4: Simplify right side
    1,020.76x = 815,158.40
  5. Step 5: Solve for x
    x = 815,158.40/1,020.76
  6. Step 6: Final answer
    x = 798.58

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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.