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Finding the Fourth Proportional to 852.89, 1,176.71 and 521.46

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Solution

The fourth proportional to 852.89, 1,176.71 and 521.46 is: 719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.89 : 1,176.71 = 521.46 : x
  2. Step 2: Convert to fraction form
    852.89/1,176.71 = 521.46/x
  3. Step 3: Cross multiply
    852.89x = 1,176.71 × 521.46
  4. Step 4: Simplify right side
    852.89x = 613,604.59
  5. Step 5: Solve for x
    x = 613,604.59/852.89
  6. Step 6: Final answer
    x = 719.45

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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.