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Finding the Fourth Proportional to 756.60, 1,134.32 and 498.24

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Solution

The fourth proportional to 756.60, 1,134.32 and 498.24 is: 746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.60 : 1,134.32 = 498.24 : x
  2. Step 2: Convert to fraction form
    756.60/1,134.32 = 498.24/x
  3. Step 3: Cross multiply
    756.60x = 1,134.32 × 498.24
  4. Step 4: Simplify right side
    756.60x = 565,163.60
  5. Step 5: Solve for x
    x = 565,163.60/756.60
  6. Step 6: Final answer
    x = 746.98

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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.