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Finding the Fourth Proportional to 1,020.95, 1,408.94 and 578.92

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Solution

The fourth proportional to 1,020.95, 1,408.94 and 578.92 is: 798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.95 : 1,408.94 = 578.92 : x
  2. Step 2: Convert to fraction form
    1,020.95/1,408.94 = 578.92/x
  3. Step 3: Cross multiply
    1,020.95x = 1,408.94 × 578.92
  4. Step 4: Simplify right side
    1,020.95x = 815,669.16
  5. Step 5: Solve for x
    x = 815,669.16/1,020.95
  6. Step 6: Final answer
    x = 798.93

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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.