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Finding the Fourth Proportional to 867.51, 1,195.36 and 865.89

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Solution

The fourth proportional to 867.51, 1,195.36 and 865.89 is: 1,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.51 : 1,195.36 = 865.89 : x
  2. Step 2: Convert to fraction form
    867.51/1,195.36 = 865.89/x
  3. Step 3: Cross multiply
    867.51x = 1,195.36 × 865.89
  4. Step 4: Simplify right side
    867.51x = 1,035,048.11
  5. Step 5: Solve for x
    x = 1,035,048.11/867.51
  6. Step 6: Final answer
    x = 1,193.13

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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.