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Finding the Fourth Proportional to 785.94, 1,084.56 and 431.85

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Solution

The fourth proportional to 785.94, 1,084.56 and 431.85 is: 595.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.94 : 1,084.56 = 431.85 : x
  2. Step 2: Convert to fraction form
    785.94/1,084.56 = 431.85/x
  3. Step 3: Cross multiply
    785.94x = 1,084.56 × 431.85
  4. Step 4: Simplify right side
    785.94x = 468,367.24
  5. Step 5: Solve for x
    x = 468,367.24/785.94
  6. Step 6: Final answer
    x = 595.93

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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.