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Finding the Fourth Proportional to 735.93, 1,016.36 and 597.42

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Solution

The fourth proportional to 735.93, 1,016.36 and 597.42 is: 825.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.93 : 1,016.36 = 597.42 : x
  2. Step 2: Convert to fraction form
    735.93/1,016.36 = 597.42/x
  3. Step 3: Cross multiply
    735.93x = 1,016.36 × 597.42
  4. Step 4: Simplify right side
    735.93x = 607,193.79
  5. Step 5: Solve for x
    x = 607,193.79/735.93
  6. Step 6: Final answer
    x = 825.07

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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.