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Finding the Fourth Proportional to 785.46, 1,083.90 and 436.12

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Solution

The fourth proportional to 785.46, 1,083.90 and 436.12 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.46 : 1,083.90 = 436.12 : x
  2. Step 2: Convert to fraction form
    785.46/1,083.90 = 436.12/x
  3. Step 3: Cross multiply
    785.46x = 1,083.90 × 436.12
  4. Step 4: Simplify right side
    785.46x = 472,710.47
  5. Step 5: Solve for x
    x = 472,710.47/785.46
  6. Step 6: Final answer
    x = 601.83

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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.