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Finding the Fourth Proportional to 670.80, 925.74 and 504.71

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Solution

The fourth proportional to 670.80, 925.74 and 504.71 is: 696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.80 : 925.74 = 504.71 : x
  2. Step 2: Convert to fraction form
    670.80/925.74 = 504.71/x
  3. Step 3: Cross multiply
    670.80x = 925.74 × 504.71
  4. Step 4: Simplify right side
    670.80x = 467,231.29
  5. Step 5: Solve for x
    x = 467,231.29/670.80
  6. Step 6: Final answer
    x = 696.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.