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Finding the Fourth Proportional to 945, 1,416.78 and 511.56

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Solution

The fourth proportional to 945, 1,416.78 and 511.56 is: 766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 1,416.78 = 511.56 : x
  2. Step 2: Convert to fraction form
    945/1,416.78 = 511.56/x
  3. Step 3: Cross multiply
    945x = 1,416.78 × 511.56
  4. Step 4: Simplify right side
    945x = 724,767.98
  5. Step 5: Solve for x
    x = 724,767.98/945
  6. Step 6: Final answer
    x = 766.95

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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.