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Finding the Fourth Proportional to 1,445.46, 2,168.42 and 471.34

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Solution

The fourth proportional to 1,445.46, 2,168.42 and 471.34 is: 707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.46 : 2,168.42 = 471.34 : x
  2. Step 2: Convert to fraction form
    1,445.46/2,168.42 = 471.34/x
  3. Step 3: Cross multiply
    1,445.46x = 2,168.42 × 471.34
  4. Step 4: Simplify right side
    1,445.46x = 1,022,063.08
  5. Step 5: Solve for x
    x = 1,022,063.08/1,445.46
  6. Step 6: Final answer
    x = 707.08

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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.