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Finding the Fourth Proportional to 953.03, 1,428.52 and 458.73

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Solution

The fourth proportional to 953.03, 1,428.52 and 458.73 is: 687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.03 : 1,428.52 = 458.73 : x
  2. Step 2: Convert to fraction form
    953.03/1,428.52 = 458.73/x
  3. Step 3: Cross multiply
    953.03x = 1,428.52 × 458.73
  4. Step 4: Simplify right side
    953.03x = 655,304.98
  5. Step 5: Solve for x
    x = 655,304.98/953.03
  6. Step 6: Final answer
    x = 687.60

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Why These Related Problems?

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