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Finding the Fourth Proportional to 954.78, 1,433.85 and 614.94

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Solution

The fourth proportional to 954.78, 1,433.85 and 614.94 is: 923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.78 : 1,433.85 = 614.94 : x
  2. Step 2: Convert to fraction form
    954.78/1,433.85 = 614.94/x
  3. Step 3: Cross multiply
    954.78x = 1,433.85 × 614.94
  4. Step 4: Simplify right side
    954.78x = 881,731.72
  5. Step 5: Solve for x
    x = 881,731.72/954.78
  6. Step 6: Final answer
    x = 923.49

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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.