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Finding the Fourth Proportional to 1,003.50, 1,504.65 and 417.80

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Solution

The fourth proportional to 1,003.50, 1,504.65 and 417.80 is: 626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.50 : 1,504.65 = 417.80 : x
  2. Step 2: Convert to fraction form
    1,003.50/1,504.65 = 417.80/x
  3. Step 3: Cross multiply
    1,003.50x = 1,504.65 × 417.80
  4. Step 4: Simplify right side
    1,003.50x = 628,635.25
  5. Step 5: Solve for x
    x = 628,635.25/1,003.50
  6. Step 6: Final answer
    x = 626.44

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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.