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Finding the Fourth Proportional to 779.70, 1,074.42 and 569.46

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Solution

The fourth proportional to 779.70, 1,074.42 and 569.46 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.70 : 1,074.42 = 569.46 : x
  2. Step 2: Convert to fraction form
    779.70/1,074.42 = 569.46/x
  3. Step 3: Cross multiply
    779.70x = 1,074.42 × 569.46
  4. Step 4: Simplify right side
    779.70x = 611,839.21
  5. Step 5: Solve for x
    x = 611,839.21/779.70
  6. Step 6: Final answer
    x = 784.71

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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.