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Finding the Fourth Proportional to 954.08, 1,428.60 and 824.48

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Solution

The fourth proportional to 954.08, 1,428.60 and 824.48 is: 1,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.08 : 1,428.60 = 824.48 : x
  2. Step 2: Convert to fraction form
    954.08/1,428.60 = 824.48/x
  3. Step 3: Cross multiply
    954.08x = 1,428.60 × 824.48
  4. Step 4: Simplify right side
    954.08x = 1,177,852.13
  5. Step 5: Solve for x
    x = 1,177,852.13/954.08
  6. Step 6: Final answer
    x = 1,234.54

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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.