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Finding the Fourth Proportional to 954.85, 1,433.08 and 378.13

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Solution

The fourth proportional to 954.85, 1,433.08 and 378.13 is: 567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.85 : 1,433.08 = 378.13 : x
  2. Step 2: Convert to fraction form
    954.85/1,433.08 = 378.13/x
  3. Step 3: Cross multiply
    954.85x = 1,433.08 × 378.13
  4. Step 4: Simplify right side
    954.85x = 541,890.54
  5. Step 5: Solve for x
    x = 541,890.54/954.85
  6. Step 6: Final answer
    x = 567.51

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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.