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Finding the Fourth Proportional to 852.66, 1,177.05 and 521.21

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Solution

The fourth proportional to 852.66, 1,177.05 and 521.21 is: 719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.66 : 1,177.05 = 521.21 : x
  2. Step 2: Convert to fraction form
    852.66/1,177.05 = 521.21/x
  3. Step 3: Cross multiply
    852.66x = 1,177.05 × 521.21
  4. Step 4: Simplify right side
    852.66x = 613,484.35
  5. Step 5: Solve for x
    x = 613,484.35/852.66
  6. Step 6: Final answer
    x = 719.49

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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.