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Finding the Fourth Proportional to 723.30, 998.84 and 526.47

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Solution

The fourth proportional to 723.30, 998.84 and 526.47 is: 727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.30 : 998.84 = 526.47 : x
  2. Step 2: Convert to fraction form
    723.30/998.84 = 526.47/x
  3. Step 3: Cross multiply
    723.30x = 998.84 × 526.47
  4. Step 4: Simplify right side
    723.30x = 525,866.03
  5. Step 5: Solve for x
    x = 525,866.03/723.30
  6. Step 6: Final answer
    x = 727.03

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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.