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Finding the Fourth Proportional to 652.54, 974.08 and 604.36

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Solution

The fourth proportional to 652.54, 974.08 and 604.36 is: 902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.54 : 974.08 = 604.36 : x
  2. Step 2: Convert to fraction form
    652.54/974.08 = 604.36/x
  3. Step 3: Cross multiply
    652.54x = 974.08 × 604.36
  4. Step 4: Simplify right side
    652.54x = 588,694.99
  5. Step 5: Solve for x
    x = 588,694.99/652.54
  6. Step 6: Final answer
    x = 902.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.