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Finding the Fourth Proportional to 1,003.30, 1,506.30 and 639.70

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Solution

The fourth proportional to 1,003.30, 1,506.30 and 639.70 is: 960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.30 : 1,506.30 = 639.70 : x
  2. Step 2: Convert to fraction form
    1,003.30/1,506.30 = 639.70/x
  3. Step 3: Cross multiply
    1,003.30x = 1,506.30 × 639.70
  4. Step 4: Simplify right side
    1,003.30x = 963,580.11
  5. Step 5: Solve for x
    x = 963,580.11/1,003.30
  6. Step 6: Final answer
    x = 960.41

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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.