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Finding the Fourth Proportional to 745.80, 1,029.14 and 409.64

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Solution

The fourth proportional to 745.80, 1,029.14 and 409.64 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.80 : 1,029.14 = 409.64 : x
  2. Step 2: Convert to fraction form
    745.80/1,029.14 = 409.64/x
  3. Step 3: Cross multiply
    745.80x = 1,029.14 × 409.64
  4. Step 4: Simplify right side
    745.80x = 421,576.91
  5. Step 5: Solve for x
    x = 421,576.91/745.80
  6. Step 6: Final answer
    x = 565.27

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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.