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Finding the Fourth Proportional to 785.42, 1,083.88 and 436.11

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Solution

The fourth proportional to 785.42, 1,083.88 and 436.11 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,083.88 = 436.11 : x
  2. Step 2: Convert to fraction form
    785.42/1,083.88 = 436.11/x
  3. Step 3: Cross multiply
    785.42x = 1,083.88 × 436.11
  4. Step 4: Simplify right side
    785.42x = 472,690.91
  5. Step 5: Solve for x
    x = 472,690.91/785.42
  6. Step 6: Final answer
    x = 601.83

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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.