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Finding the Fourth Proportional to 821.34, 1,132.41 and 526.11

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Solution

The fourth proportional to 821.34, 1,132.41 and 526.11 is: 725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.34 : 1,132.41 = 526.11 : x
  2. Step 2: Convert to fraction form
    821.34/1,132.41 = 526.11/x
  3. Step 3: Cross multiply
    821.34x = 1,132.41 × 526.11
  4. Step 4: Simplify right side
    821.34x = 595,772.23
  5. Step 5: Solve for x
    x = 595,772.23/821.34
  6. Step 6: Final answer
    x = 725.37

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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.