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Finding the Fourth Proportional to 786.80, 1,085.78 and 432.73

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Solution

The fourth proportional to 786.80, 1,085.78 and 432.73 is: 597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.80 : 1,085.78 = 432.73 : x
  2. Step 2: Convert to fraction form
    786.80/1,085.78 = 432.73/x
  3. Step 3: Cross multiply
    786.80x = 1,085.78 × 432.73
  4. Step 4: Simplify right side
    786.80x = 469,849.58
  5. Step 5: Solve for x
    x = 469,849.58/786.80
  6. Step 6: Final answer
    x = 597.17

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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.