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Finding the Fourth Proportional to 1,185.64, 1,775.93 and 568.42

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Solution

The fourth proportional to 1,185.64, 1,775.93 and 568.42 is: 851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.64 : 1,775.93 = 568.42 : x
  2. Step 2: Convert to fraction form
    1,185.64/1,775.93 = 568.42/x
  3. Step 3: Cross multiply
    1,185.64x = 1,775.93 × 568.42
  4. Step 4: Simplify right side
    1,185.64x = 1,009,466.85
  5. Step 5: Solve for x
    x = 1,009,466.85/1,185.64
  6. Step 6: Final answer
    x = 851.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.