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Finding the Fourth Proportional to 786.29, 1,085.08 and 432.22

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Solution

The fourth proportional to 786.29, 1,085.08 and 432.22 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.29 : 1,085.08 = 432.22 : x
  2. Step 2: Convert to fraction form
    786.29/1,085.08 = 432.22/x
  3. Step 3: Cross multiply
    786.29x = 1,085.08 × 432.22
  4. Step 4: Simplify right side
    786.29x = 468,993.28
  5. Step 5: Solve for x
    x = 468,993.28/786.29
  6. Step 6: Final answer
    x = 596.46

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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.