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Finding the Fourth Proportional to 852.92, 1,174.12 and 631.45

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Solution

The fourth proportional to 852.92, 1,174.12 and 631.45 is: 869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.92 : 1,174.12 = 631.45 : x
  2. Step 2: Convert to fraction form
    852.92/1,174.12 = 631.45/x
  3. Step 3: Cross multiply
    852.92x = 1,174.12 × 631.45
  4. Step 4: Simplify right side
    852.92x = 741,398.07
  5. Step 5: Solve for x
    x = 741,398.07/852.92
  6. Step 6: Final answer
    x = 869.25

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1.5x scale

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.