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Finding the Fourth Proportional to 679.60, 1,017.60 and 535.60

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Solution

The fourth proportional to 679.60, 1,017.60 and 535.60 is: 801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.60 : 1,017.60 = 535.60 : x
  2. Step 2: Convert to fraction form
    679.60/1,017.60 = 535.60/x
  3. Step 3: Cross multiply
    679.60x = 1,017.60 × 535.60
  4. Step 4: Simplify right side
    679.60x = 545,026.56
  5. Step 5: Solve for x
    x = 545,026.56/679.60
  6. Step 6: Final answer
    x = 801.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.