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Finding the Fourth Proportional to 746, 1,029.60 and 435.50

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Solution

The fourth proportional to 746, 1,029.60 and 435.50 is: 601.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    746 : 1,029.60 = 435.50 : x
  2. Step 2: Convert to fraction form
    746/1,029.60 = 435.50/x
  3. Step 3: Cross multiply
    746x = 1,029.60 × 435.50
  4. Step 4: Simplify right side
    746x = 448,390.80
  5. Step 5: Solve for x
    x = 448,390.80/746
  6. Step 6: Final answer
    x = 601.06

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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.