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Finding the Fourth Proportional to 949.19, 1,423.78 and 561.86

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Solution

The fourth proportional to 949.19, 1,423.78 and 561.86 is: 842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.19 : 1,423.78 = 561.86 : x
  2. Step 2: Convert to fraction form
    949.19/1,423.78 = 561.86/x
  3. Step 3: Cross multiply
    949.19x = 1,423.78 × 561.86
  4. Step 4: Simplify right side
    949.19x = 799,956.51
  5. Step 5: Solve for x
    x = 799,956.51/949.19
  6. Step 6: Final answer
    x = 842.78

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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.