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Finding the Fourth Proportional to 745.72, 1,029.14 and 414.20

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Solution

The fourth proportional to 745.72, 1,029.14 and 414.20 is: 571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.72 : 1,029.14 = 414.20 : x
  2. Step 2: Convert to fraction form
    745.72/1,029.14 = 414.20/x
  3. Step 3: Cross multiply
    745.72x = 1,029.14 × 414.20
  4. Step 4: Simplify right side
    745.72x = 426,269.79
  5. Step 5: Solve for x
    x = 426,269.79/745.72
  6. Step 6: Final answer
    x = 571.62

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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.