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Finding the Fourth Proportional to 758.81, 1,047.57 and 493.49

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Solution

The fourth proportional to 758.81, 1,047.57 and 493.49 is: 681.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.81 : 1,047.57 = 493.49 : x
  2. Step 2: Convert to fraction form
    758.81/1,047.57 = 493.49/x
  3. Step 3: Cross multiply
    758.81x = 1,047.57 × 493.49
  4. Step 4: Simplify right side
    758.81x = 516,960.08
  5. Step 5: Solve for x
    x = 516,960.08/758.81
  6. Step 6: Final answer
    x = 681.28

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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.