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Finding the Fourth Proportional to 785.84, 1,084.44 and 491.12

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Solution

The fourth proportional to 785.84, 1,084.44 and 491.12 is: 677.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.84 : 1,084.44 = 491.12 : x
  2. Step 2: Convert to fraction form
    785.84/1,084.44 = 491.12/x
  3. Step 3: Cross multiply
    785.84x = 1,084.44 × 491.12
  4. Step 4: Simplify right side
    785.84x = 532,590.17
  5. Step 5: Solve for x
    x = 532,590.17/785.84
  6. Step 6: Final answer
    x = 677.73

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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.