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Finding the Fourth Proportional to 1,240.65, 1,859.87 and 460.49

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Solution

The fourth proportional to 1,240.65, 1,859.87 and 460.49 is: 690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.65 : 1,859.87 = 460.49 : x
  2. Step 2: Convert to fraction form
    1,240.65/1,859.87 = 460.49/x
  3. Step 3: Cross multiply
    1,240.65x = 1,859.87 × 460.49
  4. Step 4: Simplify right side
    1,240.65x = 856,439.93
  5. Step 5: Solve for x
    x = 856,439.93/1,240.65
  6. Step 6: Final answer
    x = 690.32

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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.