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Finding the Fourth Proportional to 735.66, 1,016.13 and 596.28

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Solution

The fourth proportional to 735.66, 1,016.13 and 596.28 is: 823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.66 : 1,016.13 = 596.28 : x
  2. Step 2: Convert to fraction form
    735.66/1,016.13 = 596.28/x
  3. Step 3: Cross multiply
    735.66x = 1,016.13 × 596.28
  4. Step 4: Simplify right side
    735.66x = 605,898.00
  5. Step 5: Solve for x
    x = 605,898.00/735.66
  6. Step 6: Final answer
    x = 823.61

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1.5x scale

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.