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Finding the Fourth Proportional to 746.68, 1,030.02 and 436.12

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Solution

The fourth proportional to 746.68, 1,030.02 and 436.12 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.68 : 1,030.02 = 436.12 : x
  2. Step 2: Convert to fraction form
    746.68/1,030.02 = 436.12/x
  3. Step 3: Cross multiply
    746.68x = 1,030.02 × 436.12
  4. Step 4: Simplify right side
    746.68x = 449,212.32
  5. Step 5: Solve for x
    x = 449,212.32/746.68
  6. Step 6: Final answer
    x = 601.61

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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.