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Finding the Fourth Proportional to 864.38, 1,192.95 and 570.97

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Solution

The fourth proportional to 864.38, 1,192.95 and 570.97 is: 788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.38 : 1,192.95 = 570.97 : x
  2. Step 2: Convert to fraction form
    864.38/1,192.95 = 570.97/x
  3. Step 3: Cross multiply
    864.38x = 1,192.95 × 570.97
  4. Step 4: Simplify right side
    864.38x = 681,138.66
  5. Step 5: Solve for x
    x = 681,138.66/864.38
  6. Step 6: Final answer
    x = 788.01

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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.