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Finding the Fourth Proportional to 1,057.14, 1,585.64 and 440.64

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Solution

The fourth proportional to 1,057.14, 1,585.64 and 440.64 is: 660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.14 : 1,585.64 = 440.64 : x
  2. Step 2: Convert to fraction form
    1,057.14/1,585.64 = 440.64/x
  3. Step 3: Cross multiply
    1,057.14x = 1,585.64 × 440.64
  4. Step 4: Simplify right side
    1,057.14x = 698,696.41
  5. Step 5: Solve for x
    x = 698,696.41/1,057.14
  6. Step 6: Final answer
    x = 660.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.