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Finding the Fourth Proportional to 1,011.95, 1,396.56 and 569.90

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Solution

The fourth proportional to 1,011.95, 1,396.56 and 569.90 is: 786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.95 : 1,396.56 = 569.90 : x
  2. Step 2: Convert to fraction form
    1,011.95/1,396.56 = 569.90/x
  3. Step 3: Cross multiply
    1,011.95x = 1,396.56 × 569.90
  4. Step 4: Simplify right side
    1,011.95x = 795,892.56
  5. Step 5: Solve for x
    x = 795,892.56/1,011.95
  6. Step 6: Final answer
    x = 786.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.