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Finding the Fourth Proportional to 647.15, 969.92 and 509.66

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Solution

The fourth proportional to 647.15, 969.92 and 509.66 is: 763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.15 : 969.92 = 509.66 : x
  2. Step 2: Convert to fraction form
    647.15/969.92 = 509.66/x
  3. Step 3: Cross multiply
    647.15x = 969.92 × 509.66
  4. Step 4: Simplify right side
    647.15x = 494,325.57
  5. Step 5: Solve for x
    x = 494,325.57/647.15
  6. Step 6: Final answer
    x = 763.85

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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.