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Finding the Fourth Proportional to 746.11, 1,029.63 and 435.61

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Solution

The fourth proportional to 746.11, 1,029.63 and 435.61 is: 601.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.11 : 1,029.63 = 435.61 : x
  2. Step 2: Convert to fraction form
    746.11/1,029.63 = 435.61/x
  3. Step 3: Cross multiply
    746.11x = 1,029.63 × 435.61
  4. Step 4: Simplify right side
    746.11x = 448,517.12
  5. Step 5: Solve for x
    x = 448,517.12/746.11
  6. Step 6: Final answer
    x = 601.14

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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.