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Finding the Fourth Proportional to 765, 1,147.46 and 400

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Solution

The fourth proportional to 765, 1,147.46 and 400 is: 599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 1,147.46 = 400 : x
  2. Step 2: Convert to fraction form
    765/1,147.46 = 400/x
  3. Step 3: Cross multiply
    765x = 1,147.46 × 400
  4. Step 4: Simplify right side
    765x = 458,984
  5. Step 5: Solve for x
    x = 458,984/765
  6. Step 6: Final answer
    x = 599.98

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Why These Related Problems?

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