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Finding the Fourth Proportional to 570.14, 786.34 and 503.82

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Solution

The fourth proportional to 570.14, 786.34 and 503.82 is: 694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.14 : 786.34 = 503.82 : x
  2. Step 2: Convert to fraction form
    570.14/786.34 = 503.82/x
  3. Step 3: Cross multiply
    570.14x = 786.34 × 503.82
  4. Step 4: Simplify right side
    570.14x = 396,174.45
  5. Step 5: Solve for x
    x = 396,174.45/570.14
  6. Step 6: Final answer
    x = 694.87

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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.