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Finding the Fourth Proportional to 759.46, 1,048.56 and 538.64

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Solution

The fourth proportional to 759.46, 1,048.56 and 538.64 is: 743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.46 : 1,048.56 = 538.64 : x
  2. Step 2: Convert to fraction form
    759.46/1,048.56 = 538.64/x
  3. Step 3: Cross multiply
    759.46x = 1,048.56 × 538.64
  4. Step 4: Simplify right side
    759.46x = 564,796.36
  5. Step 5: Solve for x
    x = 564,796.36/759.46
  6. Step 6: Final answer
    x = 743.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.