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Finding the Fourth Proportional to 1,003.36, 1,502.94 and 637.96

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Solution

The fourth proportional to 1,003.36, 1,502.94 and 637.96 is: 955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.36 : 1,502.94 = 637.96 : x
  2. Step 2: Convert to fraction form
    1,003.36/1,502.94 = 637.96/x
  3. Step 3: Cross multiply
    1,003.36x = 1,502.94 × 637.96
  4. Step 4: Simplify right side
    1,003.36x = 958,815.60
  5. Step 5: Solve for x
    x = 958,815.60/1,003.36
  6. Step 6: Final answer
    x = 955.60

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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.