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Finding the Fourth Proportional to 745.88, 1,029.35 and 414.34

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Solution

The fourth proportional to 745.88, 1,029.35 and 414.34 is: 571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.88 : 1,029.35 = 414.34 : x
  2. Step 2: Convert to fraction form
    745.88/1,029.35 = 414.34/x
  3. Step 3: Cross multiply
    745.88x = 1,029.35 × 414.34
  4. Step 4: Simplify right side
    745.88x = 426,497.27
  5. Step 5: Solve for x
    x = 426,497.27/745.88
  6. Step 6: Final answer
    x = 571.80

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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.