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Finding the Fourth Proportional to 1,445.90, 2,169.07 and 471.77

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Solution

The fourth proportional to 1,445.90, 2,169.07 and 471.77 is: 707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.90 : 2,169.07 = 471.77 : x
  2. Step 2: Convert to fraction form
    1,445.90/2,169.07 = 471.77/x
  3. Step 3: Cross multiply
    1,445.90x = 2,169.07 × 471.77
  4. Step 4: Simplify right side
    1,445.90x = 1,023,302.15
  5. Step 5: Solve for x
    x = 1,023,302.15/1,445.90
  6. Step 6: Final answer
    x = 707.73

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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.