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Finding the Fourth Proportional to 782.98, 1,174.63 and 435.57

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Solution

The fourth proportional to 782.98, 1,174.63 and 435.57 is: 653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.98 : 1,174.63 = 435.57 : x
  2. Step 2: Convert to fraction form
    782.98/1,174.63 = 435.57/x
  3. Step 3: Cross multiply
    782.98x = 1,174.63 × 435.57
  4. Step 4: Simplify right side
    782.98x = 511,627.69
  5. Step 5: Solve for x
    x = 511,627.69/782.98
  6. Step 6: Final answer
    x = 653.44

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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.