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Finding the Fourth Proportional to 867.02, 1,197.29 and 632.33

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Solution

The fourth proportional to 867.02, 1,197.29 and 632.33 is: 873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.02 : 1,197.29 = 632.33 : x
  2. Step 2: Convert to fraction form
    867.02/1,197.29 = 632.33/x
  3. Step 3: Cross multiply
    867.02x = 1,197.29 × 632.33
  4. Step 4: Simplify right side
    867.02x = 757,073.24
  5. Step 5: Solve for x
    x = 757,073.24/867.02
  6. Step 6: Final answer
    x = 873.20

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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.