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Finding the Fourth Proportional to 718.54, 1,077.44 and 231.53

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Solution

The fourth proportional to 718.54, 1,077.44 and 231.53 is: 347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.54 : 1,077.44 = 231.53 : x
  2. Step 2: Convert to fraction form
    718.54/1,077.44 = 231.53/x
  3. Step 3: Cross multiply
    718.54x = 1,077.44 × 231.53
  4. Step 4: Simplify right side
    718.54x = 249,453.14
  5. Step 5: Solve for x
    x = 249,453.14/718.54
  6. Step 6: Final answer
    x = 347.17

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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.