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Finding the Fourth Proportional to 746.09, 1,029.56 and 414.50

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Solution

The fourth proportional to 746.09, 1,029.56 and 414.50 is: 571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.09 : 1,029.56 = 414.50 : x
  2. Step 2: Convert to fraction form
    746.09/1,029.56 = 414.50/x
  3. Step 3: Cross multiply
    746.09x = 1,029.56 × 414.50
  4. Step 4: Simplify right side
    746.09x = 426,748.51
  5. Step 5: Solve for x
    x = 426,748.51/746.09
  6. Step 6: Final answer
    x = 571.98

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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.