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Finding the Fourth Proportional to 820.65, 1,132.14 and 521.74

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Solution

The fourth proportional to 820.65, 1,132.14 and 521.74 is: 719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.65 : 1,132.14 = 521.74 : x
  2. Step 2: Convert to fraction form
    820.65/1,132.14 = 521.74/x
  3. Step 3: Cross multiply
    820.65x = 1,132.14 × 521.74
  4. Step 4: Simplify right side
    820.65x = 590,682.61
  5. Step 5: Solve for x
    x = 590,682.61/820.65
  6. Step 6: Final answer
    x = 719.77

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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.