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Finding the Fourth Proportional to 1,044.15, 1,563.09 and 632.02

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Solution

The fourth proportional to 1,044.15, 1,563.09 and 632.02 is: 946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.15 : 1,563.09 = 632.02 : x
  2. Step 2: Convert to fraction form
    1,044.15/1,563.09 = 632.02/x
  3. Step 3: Cross multiply
    1,044.15x = 1,563.09 × 632.02
  4. Step 4: Simplify right side
    1,044.15x = 987,904.14
  5. Step 5: Solve for x
    x = 987,904.14/1,044.15
  6. Step 6: Final answer
    x = 946.13

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