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Finding the Fourth Proportional to 721.64, 996.69 and 526.02

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Solution

The fourth proportional to 721.64, 996.69 and 526.02 is: 726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.64 : 996.69 = 526.02 : x
  2. Step 2: Convert to fraction form
    721.64/996.69 = 526.02/x
  3. Step 3: Cross multiply
    721.64x = 996.69 × 526.02
  4. Step 4: Simplify right side
    721.64x = 524,278.87
  5. Step 5: Solve for x
    x = 524,278.87/721.64
  6. Step 6: Final answer
    x = 726.52

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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.