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Finding the Fourth Proportional to 1,148.21, 1,581.82 and 947.74

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Solution

The fourth proportional to 1,148.21, 1,581.82 and 947.74 is: 1,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.21 : 1,581.82 = 947.74 : x
  2. Step 2: Convert to fraction form
    1,148.21/1,581.82 = 947.74/x
  3. Step 3: Cross multiply
    1,148.21x = 1,581.82 × 947.74
  4. Step 4: Simplify right side
    1,148.21x = 1,499,154.09
  5. Step 5: Solve for x
    x = 1,499,154.09/1,148.21
  6. Step 6: Final answer
    x = 1,305.64

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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.