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Finding the Fourth Proportional to 944.76, 1,416.06 and 505.68

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Solution

The fourth proportional to 944.76, 1,416.06 and 505.68 is: 757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.76 : 1,416.06 = 505.68 : x
  2. Step 2: Convert to fraction form
    944.76/1,416.06 = 505.68/x
  3. Step 3: Cross multiply
    944.76x = 1,416.06 × 505.68
  4. Step 4: Simplify right side
    944.76x = 716,073.22
  5. Step 5: Solve for x
    x = 716,073.22/944.76
  6. Step 6: Final answer
    x = 757.94

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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.