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Finding the Fourth Proportional to 1,409.64, 2,114.66 and 435.82

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Solution

The fourth proportional to 1,409.64, 2,114.66 and 435.82 is: 653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.64 : 2,114.66 = 435.82 : x
  2. Step 2: Convert to fraction form
    1,409.64/2,114.66 = 435.82/x
  3. Step 3: Cross multiply
    1,409.64x = 2,114.66 × 435.82
  4. Step 4: Simplify right side
    1,409.64x = 921,611.12
  5. Step 5: Solve for x
    x = 921,611.12/1,409.64
  6. Step 6: Final answer
    x = 653.79

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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.