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Finding the Fourth Proportional to 1,003.21, 1,383.82 and 649.01

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Solution

The fourth proportional to 1,003.21, 1,383.82 and 649.01 is: 895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.21 : 1,383.82 = 649.01 : x
  2. Step 2: Convert to fraction form
    1,003.21/1,383.82 = 649.01/x
  3. Step 3: Cross multiply
    1,003.21x = 1,383.82 × 649.01
  4. Step 4: Simplify right side
    1,003.21x = 898,113.02
  5. Step 5: Solve for x
    x = 898,113.02/1,003.21
  6. Step 6: Final answer
    x = 895.24

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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.