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Finding the Fourth Proportional to 1,384.68, 2,077.32 and 410.88

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Solution

The fourth proportional to 1,384.68, 2,077.32 and 410.88 is: 616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.68 : 2,077.32 = 410.88 : x
  2. Step 2: Convert to fraction form
    1,384.68/2,077.32 = 410.88/x
  3. Step 3: Cross multiply
    1,384.68x = 2,077.32 × 410.88
  4. Step 4: Simplify right side
    1,384.68x = 853,529.24
  5. Step 5: Solve for x
    x = 853,529.24/1,384.68
  6. Step 6: Final answer
    x = 616.41

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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.