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Finding the Fourth Proportional to 1,003.92, 1,384.16 and 649.26

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Solution

The fourth proportional to 1,003.92, 1,384.16 and 649.26 is: 895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.92 : 1,384.16 = 649.26 : x
  2. Step 2: Convert to fraction form
    1,003.92/1,384.16 = 649.26/x
  3. Step 3: Cross multiply
    1,003.92x = 1,384.16 × 649.26
  4. Step 4: Simplify right side
    1,003.92x = 898,679.72
  5. Step 5: Solve for x
    x = 898,679.72/1,003.92
  6. Step 6: Final answer
    x = 895.17

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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.