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Finding the Fourth Proportional to 674.69, 928.28 and 527.07

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Solution

The fourth proportional to 674.69, 928.28 and 527.07 is: 725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.69 : 928.28 = 527.07 : x
  2. Step 2: Convert to fraction form
    674.69/928.28 = 527.07/x
  3. Step 3: Cross multiply
    674.69x = 928.28 × 527.07
  4. Step 4: Simplify right side
    674.69x = 489,269.86
  5. Step 5: Solve for x
    x = 489,269.86/674.69
  6. Step 6: Final answer
    x = 725.17

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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.