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Finding the Fourth Proportional to 782.35, 1,173.06 and 416.23

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Solution

The fourth proportional to 782.35, 1,173.06 and 416.23 is: 624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.35 : 1,173.06 = 416.23 : x
  2. Step 2: Convert to fraction form
    782.35/1,173.06 = 416.23/x
  3. Step 3: Cross multiply
    782.35x = 1,173.06 × 416.23
  4. Step 4: Simplify right side
    782.35x = 488,262.76
  5. Step 5: Solve for x
    x = 488,262.76/782.35
  6. Step 6: Final answer
    x = 624.10

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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.