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Finding the Fourth Proportional to 735.09, 1,014.36 and 403.50

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Solution

The fourth proportional to 735.09, 1,014.36 and 403.50 is: 556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.09 : 1,014.36 = 403.50 : x
  2. Step 2: Convert to fraction form
    735.09/1,014.36 = 403.50/x
  3. Step 3: Cross multiply
    735.09x = 1,014.36 × 403.50
  4. Step 4: Simplify right side
    735.09x = 409,294.26
  5. Step 5: Solve for x
    x = 409,294.26/735.09
  6. Step 6: Final answer
    x = 556.79

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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.