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Finding the Fourth Proportional to 569.84, 784.50 and 511.52

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Solution

The fourth proportional to 569.84, 784.50 and 511.52 is: 704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.84 : 784.50 = 511.52 : x
  2. Step 2: Convert to fraction form
    569.84/784.50 = 511.52/x
  3. Step 3: Cross multiply
    569.84x = 784.50 × 511.52
  4. Step 4: Simplify right side
    569.84x = 401,287.44
  5. Step 5: Solve for x
    x = 401,287.44/569.84
  6. Step 6: Final answer
    x = 704.21

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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.