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Finding the Fourth Proportional to 953.12, 1,313.90 and 819.74

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Solution

The fourth proportional to 953.12, 1,313.90 and 819.74 is: 1,130.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.12 : 1,313.90 = 819.74 : x
  2. Step 2: Convert to fraction form
    953.12/1,313.90 = 819.74/x
  3. Step 3: Cross multiply
    953.12x = 1,313.90 × 819.74
  4. Step 4: Simplify right side
    953.12x = 1,077,045.72
  5. Step 5: Solve for x
    x = 1,077,045.72/953.12
  6. Step 6: Final answer
    x = 1,130.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.