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Finding the Fourth Proportional to 1,011.69, 1,396.16 and 569.64

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Solution

The fourth proportional to 1,011.69, 1,396.16 and 569.64 is: 786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.69 : 1,396.16 = 569.64 : x
  2. Step 2: Convert to fraction form
    1,011.69/1,396.16 = 569.64/x
  3. Step 3: Cross multiply
    1,011.69x = 1,396.16 × 569.64
  4. Step 4: Simplify right side
    1,011.69x = 795,305.73
  5. Step 5: Solve for x
    x = 795,305.73/1,011.69
  6. Step 6: Final answer
    x = 786.12

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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.