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Finding the Fourth Proportional to 786.81, 1,085.79 and 432.75

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Solution

The fourth proportional to 786.81, 1,085.79 and 432.75 is: 597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.81 : 1,085.79 = 432.75 : x
  2. Step 2: Convert to fraction form
    786.81/1,085.79 = 432.75/x
  3. Step 3: Cross multiply
    786.81x = 1,085.79 × 432.75
  4. Step 4: Simplify right side
    786.81x = 469,872.78
  5. Step 5: Solve for x
    x = 469,872.78/786.81
  6. Step 6: Final answer
    x = 597.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.