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Finding the Fourth Proportional to 1,044.57, 1,563.74 and 632.46

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Solution

The fourth proportional to 1,044.57, 1,563.74 and 632.46 is: 946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.57 : 1,563.74 = 632.46 : x
  2. Step 2: Convert to fraction form
    1,044.57/1,563.74 = 632.46/x
  3. Step 3: Cross multiply
    1,044.57x = 1,563.74 × 632.46
  4. Step 4: Simplify right side
    1,044.57x = 988,999.84
  5. Step 5: Solve for x
    x = 988,999.84/1,044.57
  6. Step 6: Final answer
    x = 946.80

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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.