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Finding the Fourth Proportional to 867.14, 1,197.12 and 572.91

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Solution

The fourth proportional to 867.14, 1,197.12 and 572.91 is: 790.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.14 : 1,197.12 = 572.91 : x
  2. Step 2: Convert to fraction form
    867.14/1,197.12 = 572.91/x
  3. Step 3: Cross multiply
    867.14x = 1,197.12 × 572.91
  4. Step 4: Simplify right side
    867.14x = 685,842.02
  5. Step 5: Solve for x
    x = 685,842.02/867.14
  6. Step 6: Final answer
    x = 790.93

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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.