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Finding the Fourth Proportional to 745.67, 1,029.06 and 414.10

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Solution

The fourth proportional to 745.67, 1,029.06 and 414.10 is: 571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.67 : 1,029.06 = 414.10 : x
  2. Step 2: Convert to fraction form
    745.67/1,029.06 = 414.10/x
  3. Step 3: Cross multiply
    745.67x = 1,029.06 × 414.10
  4. Step 4: Simplify right side
    745.67x = 426,133.75
  5. Step 5: Solve for x
    x = 426,133.75/745.67
  6. Step 6: Final answer
    x = 571.48

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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.