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Finding the Fourth Proportional to 569.84, 785.30 and 559.31

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Solution

The fourth proportional to 569.84, 785.30 and 559.31 is: 770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.84 : 785.30 = 559.31 : x
  2. Step 2: Convert to fraction form
    569.84/785.30 = 559.31/x
  3. Step 3: Cross multiply
    569.84x = 785.30 × 559.31
  4. Step 4: Simplify right side
    569.84x = 439,219.42
  5. Step 5: Solve for x
    x = 439,219.42/569.84
  6. Step 6: Final answer
    x = 770.78

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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.