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Finding the Fourth Proportional to 745.86, 1,029.30 and 451.14

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Solution

The fourth proportional to 745.86, 1,029.30 and 451.14 is: 622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.86 : 1,029.30 = 451.14 : x
  2. Step 2: Convert to fraction form
    745.86/1,029.30 = 451.14/x
  3. Step 3: Cross multiply
    745.86x = 1,029.30 × 451.14
  4. Step 4: Simplify right side
    745.86x = 464,358.40
  5. Step 5: Solve for x
    x = 464,358.40/745.86
  6. Step 6: Final answer
    x = 622.58

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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.