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Finding the Fourth Proportional to 735.36, 1,015.69 and 535.88

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Solution

The fourth proportional to 735.36, 1,015.69 and 535.88 is: 740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.36 : 1,015.69 = 535.88 : x
  2. Step 2: Convert to fraction form
    735.36/1,015.69 = 535.88/x
  3. Step 3: Cross multiply
    735.36x = 1,015.69 × 535.88
  4. Step 4: Simplify right side
    735.36x = 544,281.54
  5. Step 5: Solve for x
    x = 544,281.54/735.36
  6. Step 6: Final answer
    x = 740.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.