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Finding the Fourth Proportional to 1,002.26, 1,502.10 and 416.60

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Solution

The fourth proportional to 1,002.26, 1,502.10 and 416.60 is: 624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.26 : 1,502.10 = 416.60 : x
  2. Step 2: Convert to fraction form
    1,002.26/1,502.10 = 416.60/x
  3. Step 3: Cross multiply
    1,002.26x = 1,502.10 × 416.60
  4. Step 4: Simplify right side
    1,002.26x = 625,774.86
  5. Step 5: Solve for x
    x = 625,774.86/1,002.26
  6. Step 6: Final answer
    x = 624.36

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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.