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Finding the Fourth Proportional to 862.07, 1,189.37 and 567.64

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Solution

The fourth proportional to 862.07, 1,189.37 and 567.64 is: 783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.07 : 1,189.37 = 567.64 : x
  2. Step 2: Convert to fraction form
    862.07/1,189.37 = 567.64/x
  3. Step 3: Cross multiply
    862.07x = 1,189.37 × 567.64
  4. Step 4: Simplify right side
    862.07x = 675,125.20
  5. Step 5: Solve for x
    x = 675,125.20/862.07
  6. Step 6: Final answer
    x = 783.14

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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.