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Finding the Fourth Proportional to 786.53, 1,085.42 and 432.48

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Solution

The fourth proportional to 786.53, 1,085.42 and 432.48 is: 596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.53 : 1,085.42 = 432.48 : x
  2. Step 2: Convert to fraction form
    786.53/1,085.42 = 432.48/x
  3. Step 3: Cross multiply
    786.53x = 1,085.42 × 432.48
  4. Step 4: Simplify right side
    786.53x = 469,422.44
  5. Step 5: Solve for x
    x = 469,422.44/786.53
  6. Step 6: Final answer
    x = 596.83

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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.