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Finding the Fourth Proportional to 823.84, 1,137.54 and 509.56

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Solution

The fourth proportional to 823.84, 1,137.54 and 509.56 is: 703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.84 : 1,137.54 = 509.56 : x
  2. Step 2: Convert to fraction form
    823.84/1,137.54 = 509.56/x
  3. Step 3: Cross multiply
    823.84x = 1,137.54 × 509.56
  4. Step 4: Simplify right side
    823.84x = 579,644.88
  5. Step 5: Solve for x
    x = 579,644.88/823.84
  6. Step 6: Final answer
    x = 703.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.