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Finding the Fourth Proportional to 746.02, 1,029.47 and 414.47

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Solution

The fourth proportional to 746.02, 1,029.47 and 414.47 is: 571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.02 : 1,029.47 = 414.47 : x
  2. Step 2: Convert to fraction form
    746.02/1,029.47 = 414.47/x
  3. Step 3: Cross multiply
    746.02x = 1,029.47 × 414.47
  4. Step 4: Simplify right side
    746.02x = 426,677.21
  5. Step 5: Solve for x
    x = 426,677.21/746.02
  6. Step 6: Final answer
    x = 571.94

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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.