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Finding the Fourth Proportional to 1,305.15, 1,957.71 and 440.07

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Solution

The fourth proportional to 1,305.15, 1,957.71 and 440.07 is: 660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.15 : 1,957.71 = 440.07 : x
  2. Step 2: Convert to fraction form
    1,305.15/1,957.71 = 440.07/x
  3. Step 3: Cross multiply
    1,305.15x = 1,957.71 × 440.07
  4. Step 4: Simplify right side
    1,305.15x = 861,529.44
  5. Step 5: Solve for x
    x = 861,529.44/1,305.15
  6. Step 6: Final answer
    x = 660.10

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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.