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Finding the Fourth Proportional to 745.78, 1,029.23 and 512.50

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Solution

The fourth proportional to 745.78, 1,029.23 and 512.50 is: 707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.78 : 1,029.23 = 512.50 : x
  2. Step 2: Convert to fraction form
    745.78/1,029.23 = 512.50/x
  3. Step 3: Cross multiply
    745.78x = 1,029.23 × 512.50
  4. Step 4: Simplify right side
    745.78x = 527,480.38
  5. Step 5: Solve for x
    x = 527,480.38/745.78
  6. Step 6: Final answer
    x = 707.29

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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.