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Finding the Fourth Proportional to 718.52, 1,077.26 and 353.03

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Solution

The fourth proportional to 718.52, 1,077.26 and 353.03 is: 529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.52 : 1,077.26 = 353.03 : x
  2. Step 2: Convert to fraction form
    718.52/1,077.26 = 353.03/x
  3. Step 3: Cross multiply
    718.52x = 1,077.26 × 353.03
  4. Step 4: Simplify right side
    718.52x = 380,297.95
  5. Step 5: Solve for x
    x = 380,297.95/718.52
  6. Step 6: Final answer
    x = 529.28

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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.