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Finding the Fourth Proportional to 1,411.69, 2,117.85 and 437.80

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Solution

The fourth proportional to 1,411.69, 2,117.85 and 437.80 is: 656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.69 : 2,117.85 = 437.80 : x
  2. Step 2: Convert to fraction form
    1,411.69/2,117.85 = 437.80/x
  3. Step 3: Cross multiply
    1,411.69x = 2,117.85 × 437.80
  4. Step 4: Simplify right side
    1,411.69x = 927,194.73
  5. Step 5: Solve for x
    x = 927,194.73/1,411.69
  6. Step 6: Final answer
    x = 656.80

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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.