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Finding the Fourth Proportional to 1,262.85, 1,893.46 and 532.23

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Solution

The fourth proportional to 1,262.85, 1,893.46 and 532.23 is: 798.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.85 : 1,893.46 = 532.23 : x
  2. Step 2: Convert to fraction form
    1,262.85/1,893.46 = 532.23/x
  3. Step 3: Cross multiply
    1,262.85x = 1,893.46 × 532.23
  4. Step 4: Simplify right side
    1,262.85x = 1,007,756.22
  5. Step 5: Solve for x
    x = 1,007,756.22/1,262.85
  6. Step 6: Final answer
    x = 798.00

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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.