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Finding the Fourth Proportional to 985.72, 1,358.24 and 670.44

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Solution

The fourth proportional to 985.72, 1,358.24 and 670.44 is: 923.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.72 : 1,358.24 = 670.44 : x
  2. Step 2: Convert to fraction form
    985.72/1,358.24 = 670.44/x
  3. Step 3: Cross multiply
    985.72x = 1,358.24 × 670.44
  4. Step 4: Simplify right side
    985.72x = 910,614.40
  5. Step 5: Solve for x
    x = 910,614.40/985.72
  6. Step 6: Final answer
    x = 923.80

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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.