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Finding the Fourth Proportional to 894.86, 1,234.02 and 545.34

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Solution

The fourth proportional to 894.86, 1,234.02 and 545.34 is: 752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.86 : 1,234.02 = 545.34 : x
  2. Step 2: Convert to fraction form
    894.86/1,234.02 = 545.34/x
  3. Step 3: Cross multiply
    894.86x = 1,234.02 × 545.34
  4. Step 4: Simplify right side
    894.86x = 672,960.47
  5. Step 5: Solve for x
    x = 672,960.47/894.86
  6. Step 6: Final answer
    x = 752.03

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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.