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Finding the Fourth Proportional to 521.70, 784.10 and 483.52

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Solution

The fourth proportional to 521.70, 784.10 and 483.52 is: 726.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.70 : 784.10 = 483.52 : x
  2. Step 2: Convert to fraction form
    521.70/784.10 = 483.52/x
  3. Step 3: Cross multiply
    521.70x = 784.10 × 483.52
  4. Step 4: Simplify right side
    521.70x = 379,128.03
  5. Step 5: Solve for x
    x = 379,128.03/521.70
  6. Step 6: Final answer
    x = 726.72

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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.