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Finding the Fourth Proportional to 670.73, 1,005.26 and 465.24

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Solution

The fourth proportional to 670.73, 1,005.26 and 465.24 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.73 : 1,005.26 = 465.24 : x
  2. Step 2: Convert to fraction form
    670.73/1,005.26 = 465.24/x
  3. Step 3: Cross multiply
    670.73x = 1,005.26 × 465.24
  4. Step 4: Simplify right side
    670.73x = 467,691.22
  5. Step 5: Solve for x
    x = 467,691.22/670.73
  6. Step 6: Final answer
    x = 697.29

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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.