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Finding the Fourth Proportional to 531.63, 793.14 and 506.84

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Solution

The fourth proportional to 531.63, 793.14 and 506.84 is: 756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.63 : 793.14 = 506.84 : x
  2. Step 2: Convert to fraction form
    531.63/793.14 = 506.84/x
  3. Step 3: Cross multiply
    531.63x = 793.14 × 506.84
  4. Step 4: Simplify right side
    531.63x = 401,991.11
  5. Step 5: Solve for x
    x = 401,991.11/531.63
  6. Step 6: Final answer
    x = 756.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.