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Finding the Fourth Proportional to 786.33, 1,085.14 and 432.20

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Solution

The fourth proportional to 786.33, 1,085.14 and 432.20 is: 596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.33 : 1,085.14 = 432.20 : x
  2. Step 2: Convert to fraction form
    786.33/1,085.14 = 432.20/x
  3. Step 3: Cross multiply
    786.33x = 1,085.14 × 432.20
  4. Step 4: Simplify right side
    786.33x = 468,997.51
  5. Step 5: Solve for x
    x = 468,997.51/786.33
  6. Step 6: Final answer
    x = 596.44

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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.