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Finding the Fourth Proportional to 785.88, 1,084.53 and 431.80

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Solution

The fourth proportional to 785.88, 1,084.53 and 431.80 is: 595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.88 : 1,084.53 = 431.80 : x
  2. Step 2: Convert to fraction form
    785.88/1,084.53 = 431.80/x
  3. Step 3: Cross multiply
    785.88x = 1,084.53 × 431.80
  4. Step 4: Simplify right side
    785.88x = 468,298.96
  5. Step 5: Solve for x
    x = 468,298.96/785.88
  6. Step 6: Final answer
    x = 595.89

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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.