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Finding the Fourth Proportional to 1,384.48, 2,077.26 and 410.59

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Solution

The fourth proportional to 1,384.48, 2,077.26 and 410.59 is: 616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.48 : 2,077.26 = 410.59 : x
  2. Step 2: Convert to fraction form
    1,384.48/2,077.26 = 410.59/x
  3. Step 3: Cross multiply
    1,384.48x = 2,077.26 × 410.59
  4. Step 4: Simplify right side
    1,384.48x = 852,902.18
  5. Step 5: Solve for x
    x = 852,902.18/1,384.48
  6. Step 6: Final answer
    x = 616.05

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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.