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Finding the Fourth Proportional to 839, 1,157.84 and 471

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Solution

The fourth proportional to 839, 1,157.84 and 471 is: 649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    839 : 1,157.84 = 471 : x
  2. Step 2: Convert to fraction form
    839/1,157.84 = 471/x
  3. Step 3: Cross multiply
    839x = 1,157.84 × 471
  4. Step 4: Simplify right side
    839x = 545,342.64
  5. Step 5: Solve for x
    x = 545,342.64/839
  6. Step 6: Final answer
    x = 649.99

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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.