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Finding the Fourth Proportional to 670.92, 1,005 and 410.10

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Solution

The fourth proportional to 670.92, 1,005 and 410.10 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.92 : 1,005 = 410.10 : x
  2. Step 2: Convert to fraction form
    670.92/1,005 = 410.10/x
  3. Step 3: Cross multiply
    670.92x = 1,005 × 410.10
  4. Step 4: Simplify right side
    670.92x = 412,150.50
  5. Step 5: Solve for x
    x = 412,150.50/670.92
  6. Step 6: Final answer
    x = 614.31

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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.