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Finding the Fourth Proportional to 785.83, 1,084.45 and 431.75

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Solution

The fourth proportional to 785.83, 1,084.45 and 431.75 is: 595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.83 : 1,084.45 = 431.75 : x
  2. Step 2: Convert to fraction form
    785.83/1,084.45 = 431.75/x
  3. Step 3: Cross multiply
    785.83x = 1,084.45 × 431.75
  4. Step 4: Simplify right side
    785.83x = 468,211.29
  5. Step 5: Solve for x
    x = 468,211.29/785.83
  6. Step 6: Final answer
    x = 595.82

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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.