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Finding the Fourth Proportional to 1,337.91, 2,005.53 and 644.38

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Solution

The fourth proportional to 1,337.91, 2,005.53 and 644.38 is: 965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.91 : 2,005.53 = 644.38 : x
  2. Step 2: Convert to fraction form
    1,337.91/2,005.53 = 644.38/x
  3. Step 3: Cross multiply
    1,337.91x = 2,005.53 × 644.38
  4. Step 4: Simplify right side
    1,337.91x = 1,292,315.99
  5. Step 5: Solve for x
    x = 1,292,315.99/1,337.91
  6. Step 6: Final answer
    x = 965.92

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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.