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Finding the Fourth Proportional to 1,409.74, 2,114.83 and 435.61

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Solution

The fourth proportional to 1,409.74, 2,114.83 and 435.61 is: 653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.74 : 2,114.83 = 435.61 : x
  2. Step 2: Convert to fraction form
    1,409.74/2,114.83 = 435.61/x
  3. Step 3: Cross multiply
    1,409.74x = 2,114.83 × 435.61
  4. Step 4: Simplify right side
    1,409.74x = 921,241.10
  5. Step 5: Solve for x
    x = 921,241.10/1,409.74
  6. Step 6: Final answer
    x = 653.48

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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.