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Finding the Fourth Proportional to 556.35, 833.09 and 547.71

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Solution

The fourth proportional to 556.35, 833.09 and 547.71 is: 820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 833.09 = 547.71 : x
  2. Step 2: Convert to fraction form
    556.35/833.09 = 547.71/x
  3. Step 3: Cross multiply
    556.35x = 833.09 × 547.71
  4. Step 4: Simplify right side
    556.35x = 456,288.99
  5. Step 5: Solve for x
    x = 456,288.99/556.35
  6. Step 6: Final answer
    x = 820.15

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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.