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Finding the Fourth Proportional to 786.43, 1,085.25 and 432.35

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Solution

The fourth proportional to 786.43, 1,085.25 and 432.35 is: 596.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.43 : 1,085.25 = 432.35 : x
  2. Step 2: Convert to fraction form
    786.43/1,085.25 = 432.35/x
  3. Step 3: Cross multiply
    786.43x = 1,085.25 × 432.35
  4. Step 4: Simplify right side
    786.43x = 469,207.84
  5. Step 5: Solve for x
    x = 469,207.84/786.43
  6. Step 6: Final answer
    x = 596.63

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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.