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Finding the Fourth Proportional to 981.54, 1,354.23 and 608.54

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Solution

The fourth proportional to 981.54, 1,354.23 and 608.54 is: 839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.54 : 1,354.23 = 608.54 : x
  2. Step 2: Convert to fraction form
    981.54/1,354.23 = 608.54/x
  3. Step 3: Cross multiply
    981.54x = 1,354.23 × 608.54
  4. Step 4: Simplify right side
    981.54x = 824,096.35
  5. Step 5: Solve for x
    x = 824,096.35/981.54
  6. Step 6: Final answer
    x = 839.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.