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Finding the Fourth Proportional to 735.90, 1,015.65 and 484.06

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Solution

The fourth proportional to 735.90, 1,015.65 and 484.06 is: 668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.90 : 1,015.65 = 484.06 : x
  2. Step 2: Convert to fraction form
    735.90/1,015.65 = 484.06/x
  3. Step 3: Cross multiply
    735.90x = 1,015.65 × 484.06
  4. Step 4: Simplify right side
    735.90x = 491,633.00
  5. Step 5: Solve for x
    x = 491,633.00/735.90
  6. Step 6: Final answer
    x = 668.07

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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.