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Finding the Fourth Proportional to 735.28, 1,014.67 and 403.69

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Solution

The fourth proportional to 735.28, 1,014.67 and 403.69 is: 557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.28 : 1,014.67 = 403.69 : x
  2. Step 2: Convert to fraction form
    735.28/1,014.67 = 403.69/x
  3. Step 3: Cross multiply
    735.28x = 1,014.67 × 403.69
  4. Step 4: Simplify right side
    735.28x = 409,612.13
  5. Step 5: Solve for x
    x = 409,612.13/735.28
  6. Step 6: Final answer
    x = 557.08

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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.