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Finding the Fourth Proportional to 1,036.96, 1,431 and 564.82

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Solution

The fourth proportional to 1,036.96, 1,431 and 564.82 is: 779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.96 : 1,431 = 564.82 : x
  2. Step 2: Convert to fraction form
    1,036.96/1,431 = 564.82/x
  3. Step 3: Cross multiply
    1,036.96x = 1,431 × 564.82
  4. Step 4: Simplify right side
    1,036.96x = 808,257.42
  5. Step 5: Solve for x
    x = 808,257.42/1,036.96
  6. Step 6: Final answer
    x = 779.45

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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.