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Finding the Fourth Proportional to 734.88, 1,014.24 and 538.08

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Solution

The fourth proportional to 734.88, 1,014.24 and 538.08 is: 742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.88 : 1,014.24 = 538.08 : x
  2. Step 2: Convert to fraction form
    734.88/1,014.24 = 538.08/x
  3. Step 3: Cross multiply
    734.88x = 1,014.24 × 538.08
  4. Step 4: Simplify right side
    734.88x = 545,742.26
  5. Step 5: Solve for x
    x = 545,742.26/734.88
  6. Step 6: Final answer
    x = 742.63

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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.