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Finding the Fourth Proportional to 1,384.65, 2,076.21 and 460.08

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Solution

The fourth proportional to 1,384.65, 2,076.21 and 460.08 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.65 : 2,076.21 = 460.08 : x
  2. Step 2: Convert to fraction form
    1,384.65/2,076.21 = 460.08/x
  3. Step 3: Cross multiply
    1,384.65x = 2,076.21 × 460.08
  4. Step 4: Simplify right side
    1,384.65x = 955,222.70
  5. Step 5: Solve for x
    x = 955,222.70/1,384.65
  6. Step 6: Final answer
    x = 689.87

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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.