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Finding the Fourth Proportional to 613.71, 920.52 and 546

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Solution

The fourth proportional to 613.71, 920.52 and 546 is: 818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.71 : 920.52 = 546 : x
  2. Step 2: Convert to fraction form
    613.71/920.52 = 546/x
  3. Step 3: Cross multiply
    613.71x = 920.52 × 546
  4. Step 4: Simplify right side
    613.71x = 502,603.92
  5. Step 5: Solve for x
    x = 502,603.92/613.71
  6. Step 6: Final answer
    x = 818.96

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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.