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Finding the Fourth Proportional to 1,411.85, 2,117.73 and 437.99

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Solution

The fourth proportional to 1,411.85, 2,117.73 and 437.99 is: 656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.85 : 2,117.73 = 437.99 : x
  2. Step 2: Convert to fraction form
    1,411.85/2,117.73 = 437.99/x
  3. Step 3: Cross multiply
    1,411.85x = 2,117.73 × 437.99
  4. Step 4: Simplify right side
    1,411.85x = 927,544.56
  5. Step 5: Solve for x
    x = 927,544.56/1,411.85
  6. Step 6: Final answer
    x = 656.97

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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.