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Finding the Fourth Proportional to 892.49, 1,232.07 and 594.23

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Solution

The fourth proportional to 892.49, 1,232.07 and 594.23 is: 820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.49 : 1,232.07 = 594.23 : x
  2. Step 2: Convert to fraction form
    892.49/1,232.07 = 594.23/x
  3. Step 3: Cross multiply
    892.49x = 1,232.07 × 594.23
  4. Step 4: Simplify right side
    892.49x = 732,131.50
  5. Step 5: Solve for x
    x = 732,131.50/892.49
  6. Step 6: Final answer
    x = 820.32

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Double scale
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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.