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Finding the Fourth Proportional to 1,445.86, 2,168.30 and 471.72

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Solution

The fourth proportional to 1,445.86, 2,168.30 and 471.72 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.86 : 2,168.30 = 471.72 : x
  2. Step 2: Convert to fraction form
    1,445.86/2,168.30 = 471.72/x
  3. Step 3: Cross multiply
    1,445.86x = 2,168.30 × 471.72
  4. Step 4: Simplify right side
    1,445.86x = 1,022,830.48
  5. Step 5: Solve for x
    x = 1,022,830.48/1,445.86
  6. Step 6: Final answer
    x = 707.42

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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.