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Finding the Fourth Proportional to 964.21, 1,442.14 and 567.94

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Solution

The fourth proportional to 964.21, 1,442.14 and 567.94 is: 849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.21 : 1,442.14 = 567.94 : x
  2. Step 2: Convert to fraction form
    964.21/1,442.14 = 567.94/x
  3. Step 3: Cross multiply
    964.21x = 1,442.14 × 567.94
  4. Step 4: Simplify right side
    964.21x = 819,054.26
  5. Step 5: Solve for x
    x = 819,054.26/964.21
  6. Step 6: Final answer
    x = 849.46

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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.