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Finding the Fourth Proportional to 1,411.50, 2,117.54 and 437.56

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Solution

The fourth proportional to 1,411.50, 2,117.54 and 437.56 is: 656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.50 : 2,117.54 = 437.56 : x
  2. Step 2: Convert to fraction form
    1,411.50/2,117.54 = 437.56/x
  3. Step 3: Cross multiply
    1,411.50x = 2,117.54 × 437.56
  4. Step 4: Simplify right side
    1,411.50x = 926,550.80
  5. Step 5: Solve for x
    x = 926,550.80/1,411.50
  6. Step 6: Final answer
    x = 656.43

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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.