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Finding the Fourth Proportional to 765.48, 1,148.26 and 217.64

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Solution

The fourth proportional to 765.48, 1,148.26 and 217.64 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.48 : 1,148.26 = 217.64 : x
  2. Step 2: Convert to fraction form
    765.48/1,148.26 = 217.64/x
  3. Step 3: Cross multiply
    765.48x = 1,148.26 × 217.64
  4. Step 4: Simplify right side
    765.48x = 249,907.31
  5. Step 5: Solve for x
    x = 249,907.31/765.48
  6. Step 6: Final answer
    x = 326.47

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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.