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Finding the Fourth Proportional to 745.85, 1,029.29 and 409.76

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Solution

The fourth proportional to 745.85, 1,029.29 and 409.76 is: 565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.85 : 1,029.29 = 409.76 : x
  2. Step 2: Convert to fraction form
    745.85/1,029.29 = 409.76/x
  3. Step 3: Cross multiply
    745.85x = 1,029.29 × 409.76
  4. Step 4: Simplify right side
    745.85x = 421,761.87
  5. Step 5: Solve for x
    x = 421,761.87/745.85
  6. Step 6: Final answer
    x = 565.48

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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.