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Finding the Fourth Proportional to 867.51, 1,197.49 and 588.37

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Solution

The fourth proportional to 867.51, 1,197.49 and 588.37 is: 812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.51 : 1,197.49 = 588.37 : x
  2. Step 2: Convert to fraction form
    867.51/1,197.49 = 588.37/x
  3. Step 3: Cross multiply
    867.51x = 1,197.49 × 588.37
  4. Step 4: Simplify right side
    867.51x = 704,567.19
  5. Step 5: Solve for x
    x = 704,567.19/867.51
  6. Step 6: Final answer
    x = 812.17

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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.