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Finding the Fourth Proportional to 556.26, 827.35 and 545.32

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Solution

The fourth proportional to 556.26, 827.35 and 545.32 is: 811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.26 : 827.35 = 545.32 : x
  2. Step 2: Convert to fraction form
    556.26/827.35 = 545.32/x
  3. Step 3: Cross multiply
    556.26x = 827.35 × 545.32
  4. Step 4: Simplify right side
    556.26x = 451,170.50
  5. Step 5: Solve for x
    x = 451,170.50/556.26
  6. Step 6: Final answer
    x = 811.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.