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Finding the Fourth Proportional to 894.40, 1,234.44 and 545.08

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Solution

The fourth proportional to 894.40, 1,234.44 and 545.08 is: 752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,234.44 = 545.08 : x
  2. Step 2: Convert to fraction form
    894.40/1,234.44 = 545.08/x
  3. Step 3: Cross multiply
    894.40x = 1,234.44 × 545.08
  4. Step 4: Simplify right side
    894.40x = 672,868.56
  5. Step 5: Solve for x
    x = 672,868.56/894.40
  6. Step 6: Final answer
    x = 752.31

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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.