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Finding the Fourth Proportional to 949.53, 1,423.30 and 532.45

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Solution

The fourth proportional to 949.53, 1,423.30 and 532.45 is: 798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.53 : 1,423.30 = 532.45 : x
  2. Step 2: Convert to fraction form
    949.53/1,423.30 = 532.45/x
  3. Step 3: Cross multiply
    949.53x = 1,423.30 × 532.45
  4. Step 4: Simplify right side
    949.53x = 757,839.90
  5. Step 5: Solve for x
    x = 757,839.90/949.53
  6. Step 6: Final answer
    x = 798.12

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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.