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Finding the Fourth Proportional to 1,011.73, 1,396.19 and 569.64

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Solution

The fourth proportional to 1,011.73, 1,396.19 and 569.64 is: 786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.73 : 1,396.19 = 569.64 : x
  2. Step 2: Convert to fraction form
    1,011.73/1,396.19 = 569.64/x
  3. Step 3: Cross multiply
    1,011.73x = 1,396.19 × 569.64
  4. Step 4: Simplify right side
    1,011.73x = 795,319.72
  5. Step 5: Solve for x
    x = 795,319.72/1,011.73
  6. Step 6: Final answer
    x = 786.10

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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.