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Finding the Fourth Proportional to 1,312.28, 1,966.76 and 617.44

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Solution

The fourth proportional to 1,312.28, 1,966.76 and 617.44 is: 925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.28 : 1,966.76 = 617.44 : x
  2. Step 2: Convert to fraction form
    1,312.28/1,966.76 = 617.44/x
  3. Step 3: Cross multiply
    1,312.28x = 1,966.76 × 617.44
  4. Step 4: Simplify right side
    1,312.28x = 1,214,346.46
  5. Step 5: Solve for x
    x = 1,214,346.46/1,312.28
  6. Step 6: Final answer
    x = 925.37

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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.