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Finding the Fourth Proportional to 570.27, 787.83 and 537.87

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Solution

The fourth proportional to 570.27, 787.83 and 537.87 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.27 : 787.83 = 537.87 : x
  2. Step 2: Convert to fraction form
    570.27/787.83 = 537.87/x
  3. Step 3: Cross multiply
    570.27x = 787.83 × 537.87
  4. Step 4: Simplify right side
    570.27x = 423,750.12
  5. Step 5: Solve for x
    x = 423,750.12/570.27
  6. Step 6: Final answer
    x = 743.07

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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.