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Finding the Fourth Proportional to 1,409.64, 2,114.51 and 543.75

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Solution

The fourth proportional to 1,409.64, 2,114.51 and 543.75 is: 815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.64 : 2,114.51 = 543.75 : x
  2. Step 2: Convert to fraction form
    1,409.64/2,114.51 = 543.75/x
  3. Step 3: Cross multiply
    1,409.64x = 2,114.51 × 543.75
  4. Step 4: Simplify right side
    1,409.64x = 1,149,764.81
  5. Step 5: Solve for x
    x = 1,149,764.81/1,409.64
  6. Step 6: Final answer
    x = 815.64

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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.