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Finding the Fourth Proportional to 1,057.41, 1,591.63 and 956.79

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Solution

The fourth proportional to 1,057.41, 1,591.63 and 956.79 is: 1,440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.41 : 1,591.63 = 956.79 : x
  2. Step 2: Convert to fraction form
    1,057.41/1,591.63 = 956.79/x
  3. Step 3: Cross multiply
    1,057.41x = 1,591.63 × 956.79
  4. Step 4: Simplify right side
    1,057.41x = 1,522,853.28
  5. Step 5: Solve for x
    x = 1,522,853.28/1,057.41
  6. Step 6: Final answer
    x = 1,440.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.