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Finding the Fourth Proportional to 974.98, 1,465.49 and 564.94

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Solution

The fourth proportional to 974.98, 1,465.49 and 564.94 is: 849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.98 : 1,465.49 = 564.94 : x
  2. Step 2: Convert to fraction form
    974.98/1,465.49 = 564.94/x
  3. Step 3: Cross multiply
    974.98x = 1,465.49 × 564.94
  4. Step 4: Simplify right side
    974.98x = 827,911.10
  5. Step 5: Solve for x
    x = 827,911.10/974.98
  6. Step 6: Final answer
    x = 849.16

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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.