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Finding the Fourth Proportional to 738.07, 1,106.82 and 532.03

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Solution

The fourth proportional to 738.07, 1,106.82 and 532.03 is: 797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.07 : 1,106.82 = 532.03 : x
  2. Step 2: Convert to fraction form
    738.07/1,106.82 = 532.03/x
  3. Step 3: Cross multiply
    738.07x = 1,106.82 × 532.03
  4. Step 4: Simplify right side
    738.07x = 588,861.44
  5. Step 5: Solve for x
    x = 588,861.44/738.07
  6. Step 6: Final answer
    x = 797.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.