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Finding the Fourth Proportional to 821.82, 1,134.57 and 570.12

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Solution

The fourth proportional to 821.82, 1,134.57 and 570.12 is: 787.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.82 : 1,134.57 = 570.12 : x
  2. Step 2: Convert to fraction form
    821.82/1,134.57 = 570.12/x
  3. Step 3: Cross multiply
    821.82x = 1,134.57 × 570.12
  4. Step 4: Simplify right side
    821.82x = 646,841.05
  5. Step 5: Solve for x
    x = 646,841.05/821.82
  6. Step 6: Final answer
    x = 787.08

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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.