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Finding the Fourth Proportional to 735.88, 1,017.48 and 643.60

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Solution

The fourth proportional to 735.88, 1,017.48 and 643.60 is: 889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.88 : 1,017.48 = 643.60 : x
  2. Step 2: Convert to fraction form
    735.88/1,017.48 = 643.60/x
  3. Step 3: Cross multiply
    735.88x = 1,017.48 × 643.60
  4. Step 4: Simplify right side
    735.88x = 654,850.13
  5. Step 5: Solve for x
    x = 654,850.13/735.88
  6. Step 6: Final answer
    x = 889.89

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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.