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Finding the Fourth Proportional to 821.94, 1,134.74 and 570.23

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Solution

The fourth proportional to 821.94, 1,134.74 and 570.23 is: 787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.94 : 1,134.74 = 570.23 : x
  2. Step 2: Convert to fraction form
    821.94/1,134.74 = 570.23/x
  3. Step 3: Cross multiply
    821.94x = 1,134.74 × 570.23
  4. Step 4: Simplify right side
    821.94x = 647,062.79
  5. Step 5: Solve for x
    x = 647,062.79/821.94
  6. Step 6: Final answer
    x = 787.24

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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.