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Finding the Fourth Proportional to 954.99, 1,433.03 and 378.27

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Solution

The fourth proportional to 954.99, 1,433.03 and 378.27 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.99 : 1,433.03 = 378.27 : x
  2. Step 2: Convert to fraction form
    954.99/1,433.03 = 378.27/x
  3. Step 3: Cross multiply
    954.99x = 1,433.03 × 378.27
  4. Step 4: Simplify right side
    954.99x = 542,070.37
  5. Step 5: Solve for x
    x = 542,070.37/954.99
  6. Step 6: Final answer
    x = 567.62

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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.