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Finding the Fourth Proportional to 782.17, 1,170.83 and 429.89

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Solution

The fourth proportional to 782.17, 1,170.83 and 429.89 is: 643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.17 : 1,170.83 = 429.89 : x
  2. Step 2: Convert to fraction form
    782.17/1,170.83 = 429.89/x
  3. Step 3: Cross multiply
    782.17x = 1,170.83 × 429.89
  4. Step 4: Simplify right side
    782.17x = 503,323.33
  5. Step 5: Solve for x
    x = 503,323.33/782.17
  6. Step 6: Final answer
    x = 643.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.