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Finding the Fourth Proportional to 864.49, 1,192.65 and 532.34

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Solution

The fourth proportional to 864.49, 1,192.65 and 532.34 is: 734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.49 : 1,192.65 = 532.34 : x
  2. Step 2: Convert to fraction form
    864.49/1,192.65 = 532.34/x
  3. Step 3: Cross multiply
    864.49x = 1,192.65 × 532.34
  4. Step 4: Simplify right side
    864.49x = 634,893.65
  5. Step 5: Solve for x
    x = 634,893.65/864.49
  6. Step 6: Final answer
    x = 734.42

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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.