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Finding the Fourth Proportional to 782.56, 1,174.16 and 417.25

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Solution

The fourth proportional to 782.56, 1,174.16 and 417.25 is: 626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.56 : 1,174.16 = 417.25 : x
  2. Step 2: Convert to fraction form
    782.56/1,174.16 = 417.25/x
  3. Step 3: Cross multiply
    782.56x = 1,174.16 × 417.25
  4. Step 4: Simplify right side
    782.56x = 489,920.77
  5. Step 5: Solve for x
    x = 489,920.77/782.56
  6. Step 6: Final answer
    x = 626.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.