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Finding the Fourth Proportional to 735.59, 1,016.01 and 549.90

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Solution

The fourth proportional to 735.59, 1,016.01 and 549.90 is: 759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.59 : 1,016.01 = 549.90 : x
  2. Step 2: Convert to fraction form
    735.59/1,016.01 = 549.90/x
  3. Step 3: Cross multiply
    735.59x = 1,016.01 × 549.90
  4. Step 4: Simplify right side
    735.59x = 558,708.74
  5. Step 5: Solve for x
    x = 558,708.74/735.59
  6. Step 6: Final answer
    x = 759.54

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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.