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Finding the Fourth Proportional to 785.95, 1,084.59 and 431.88

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Solution

The fourth proportional to 785.95, 1,084.59 and 431.88 is: 595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.95 : 1,084.59 = 431.88 : x
  2. Step 2: Convert to fraction form
    785.95/1,084.59 = 431.88/x
  3. Step 3: Cross multiply
    785.95x = 1,084.59 × 431.88
  4. Step 4: Simplify right side
    785.95x = 468,412.73
  5. Step 5: Solve for x
    x = 468,412.73/785.95
  6. Step 6: Final answer
    x = 595.98

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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.