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Finding the Fourth Proportional to 785.40, 1,083.78 and 436.12

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Solution

The fourth proportional to 785.40, 1,083.78 and 436.12 is: 601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,083.78 = 436.12 : x
  2. Step 2: Convert to fraction form
    785.40/1,083.78 = 436.12/x
  3. Step 3: Cross multiply
    785.40x = 1,083.78 × 436.12
  4. Step 4: Simplify right side
    785.40x = 472,658.13
  5. Step 5: Solve for x
    x = 472,658.13/785.40
  6. Step 6: Final answer
    x = 601.81

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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.