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Finding the Fourth Proportional to 745.76, 1,029.13 and 414.17

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Solution

The fourth proportional to 745.76, 1,029.13 and 414.17 is: 571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.76 : 1,029.13 = 414.17 : x
  2. Step 2: Convert to fraction form
    745.76/1,029.13 = 414.17/x
  3. Step 3: Cross multiply
    745.76x = 1,029.13 × 414.17
  4. Step 4: Simplify right side
    745.76x = 426,234.77
  5. Step 5: Solve for x
    x = 426,234.77/745.76
  6. Step 6: Final answer
    x = 571.54

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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.