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Finding the Fourth Proportional to 783.98, 1,174.37 and 509.24

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Solution

The fourth proportional to 783.98, 1,174.37 and 509.24 is: 762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.98 : 1,174.37 = 509.24 : x
  2. Step 2: Convert to fraction form
    783.98/1,174.37 = 509.24/x
  3. Step 3: Cross multiply
    783.98x = 1,174.37 × 509.24
  4. Step 4: Simplify right side
    783.98x = 598,029.03
  5. Step 5: Solve for x
    x = 598,029.03/783.98
  6. Step 6: Final answer
    x = 762.82

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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.