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Finding the Fourth Proportional to 1,011.96, 1,396.63 and 569.94

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Solution

The fourth proportional to 1,011.96, 1,396.63 and 569.94 is: 786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.96 : 1,396.63 = 569.94 : x
  2. Step 2: Convert to fraction form
    1,011.96/1,396.63 = 569.94/x
  3. Step 3: Cross multiply
    1,011.96x = 1,396.63 × 569.94
  4. Step 4: Simplify right side
    1,011.96x = 795,995.30
  5. Step 5: Solve for x
    x = 795,995.30/1,011.96
  6. Step 6: Final answer
    x = 786.59

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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.