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Finding the Fourth Proportional to 1,044.16, 1,441.08 and 651.31

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Solution

The fourth proportional to 1,044.16, 1,441.08 and 651.31 is: 898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.16 : 1,441.08 = 651.31 : x
  2. Step 2: Convert to fraction form
    1,044.16/1,441.08 = 651.31/x
  3. Step 3: Cross multiply
    1,044.16x = 1,441.08 × 651.31
  4. Step 4: Simplify right side
    1,044.16x = 938,589.81
  5. Step 5: Solve for x
    x = 938,589.81/1,044.16
  6. Step 6: Final answer
    x = 898.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.