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Finding the Fourth Proportional to 674.92, 1,011.94 and 545.08

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Solution

The fourth proportional to 674.92, 1,011.94 and 545.08 is: 817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 1,011.94 = 545.08 : x
  2. Step 2: Convert to fraction form
    674.92/1,011.94 = 545.08/x
  3. Step 3: Cross multiply
    674.92x = 1,011.94 × 545.08
  4. Step 4: Simplify right side
    674.92x = 551,581.83
  5. Step 5: Solve for x
    x = 551,581.83/674.92
  6. Step 6: Final answer
    x = 817.26

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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.