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Finding the Fourth Proportional to 1,456.79, 2,011.47 and 960.12

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Solution

The fourth proportional to 1,456.79, 2,011.47 and 960.12 is: 1,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.79 : 2,011.47 = 960.12 : x
  2. Step 2: Convert to fraction form
    1,456.79/2,011.47 = 960.12/x
  3. Step 3: Cross multiply
    1,456.79x = 2,011.47 × 960.12
  4. Step 4: Simplify right side
    1,456.79x = 1,931,244.54
  5. Step 5: Solve for x
    x = 1,931,244.54/1,456.79
  6. Step 6: Final answer
    x = 1,325.69

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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.