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Finding the Fourth Proportional to 670.71, 925.13 and 546.38

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Solution

The fourth proportional to 670.71, 925.13 and 546.38 is: 753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.71 : 925.13 = 546.38 : x
  2. Step 2: Convert to fraction form
    670.71/925.13 = 546.38/x
  3. Step 3: Cross multiply
    670.71x = 925.13 × 546.38
  4. Step 4: Simplify right side
    670.71x = 505,468.85
  5. Step 5: Solve for x
    x = 505,468.85/670.71
  6. Step 6: Final answer
    x = 753.63

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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.