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Finding the Fourth Proportional to 736.41, 1,014.53 and 514.97

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Solution

The fourth proportional to 736.41, 1,014.53 and 514.97 is: 709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.41 : 1,014.53 = 514.97 : x
  2. Step 2: Convert to fraction form
    736.41/1,014.53 = 514.97/x
  3. Step 3: Cross multiply
    736.41x = 1,014.53 × 514.97
  4. Step 4: Simplify right side
    736.41x = 522,444.87
  5. Step 5: Solve for x
    x = 522,444.87/736.41
  6. Step 6: Final answer
    x = 709.45

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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.