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Finding the Fourth Proportional to 670.23, 1,004.82 and 464.22

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Solution

The fourth proportional to 670.23, 1,004.82 and 464.22 is: 695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.23 : 1,004.82 = 464.22 : x
  2. Step 2: Convert to fraction form
    670.23/1,004.82 = 464.22/x
  3. Step 3: Cross multiply
    670.23x = 1,004.82 × 464.22
  4. Step 4: Simplify right side
    670.23x = 466,457.54
  5. Step 5: Solve for x
    x = 466,457.54/670.23
  6. Step 6: Final answer
    x = 695.97

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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.