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Finding the Fourth Proportional to 670.98, 1,005.75 and 410.27

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Solution

The fourth proportional to 670.98, 1,005.75 and 410.27 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.98 : 1,005.75 = 410.27 : x
  2. Step 2: Convert to fraction form
    670.98/1,005.75 = 410.27/x
  3. Step 3: Cross multiply
    670.98x = 1,005.75 × 410.27
  4. Step 4: Simplify right side
    670.98x = 412,624.02
  5. Step 5: Solve for x
    x = 412,624.02/670.98
  6. Step 6: Final answer
    x = 614.95

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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.