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Finding the Fourth Proportional to 756.63, 1,132.31 and 464.00

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Solution

The fourth proportional to 756.63, 1,132.31 and 464.00 is: 694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.63 : 1,132.31 = 464.00 : x
  2. Step 2: Convert to fraction form
    756.63/1,132.31 = 464.00/x
  3. Step 3: Cross multiply
    756.63x = 1,132.31 × 464.00
  4. Step 4: Simplify right side
    756.63x = 525,387.34
  5. Step 5: Solve for x
    x = 525,387.34/756.63
  6. Step 6: Final answer
    x = 694.38

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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.