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Finding the Fourth Proportional to 952.82, 1,428.56 and 458.96

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Solution

The fourth proportional to 952.82, 1,428.56 and 458.96 is: 688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,428.56 = 458.96 : x
  2. Step 2: Convert to fraction form
    952.82/1,428.56 = 458.96/x
  3. Step 3: Cross multiply
    952.82x = 1,428.56 × 458.96
  4. Step 4: Simplify right side
    952.82x = 655,642.46
  5. Step 5: Solve for x
    x = 655,642.46/952.82
  6. Step 6: Final answer
    x = 688.11

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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.