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Finding the Fourth Proportional to 634.56, 874.98 and 509.82

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Solution

The fourth proportional to 634.56, 874.98 and 509.82 is: 702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 874.98 = 509.82 : x
  2. Step 2: Convert to fraction form
    634.56/874.98 = 509.82/x
  3. Step 3: Cross multiply
    634.56x = 874.98 × 509.82
  4. Step 4: Simplify right side
    634.56x = 446,082.30
  5. Step 5: Solve for x
    x = 446,082.30/634.56
  6. Step 6: Final answer
    x = 702.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.