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Finding the Fourth Proportional to 782.95, 1,173.64 and 436.43

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Solution

The fourth proportional to 782.95, 1,173.64 and 436.43 is: 654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.95 : 1,173.64 = 436.43 : x
  2. Step 2: Convert to fraction form
    782.95/1,173.64 = 436.43/x
  3. Step 3: Cross multiply
    782.95x = 1,173.64 × 436.43
  4. Step 4: Simplify right side
    782.95x = 512,215.18
  5. Step 5: Solve for x
    x = 512,215.18/782.95
  6. Step 6: Final answer
    x = 654.21

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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.