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Finding the Fourth Proportional to 745.92, 1,028.84 and 570.96

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Solution

The fourth proportional to 745.92, 1,028.84 and 570.96 is: 787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,028.84 = 570.96 : x
  2. Step 2: Convert to fraction form
    745.92/1,028.84 = 570.96/x
  3. Step 3: Cross multiply
    745.92x = 1,028.84 × 570.96
  4. Step 4: Simplify right side
    745.92x = 587,426.49
  5. Step 5: Solve for x
    x = 587,426.49/745.92
  6. Step 6: Final answer
    x = 787.52

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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.